zbMath0881.35001MaRDI QIDQ1362463
Lars Hörmander
Publication date: 4 August 1997
Published in: Mathématiques \& Applications (Berlin) (Search for Journal in Brave)
Local well-posedness for quasi-linear problems: A primer ⋮
Incompressible limit of nonisentropic Hookean elastodynamics ⋮
Explicit formulas and decay rates for the solution of the wave equation in cosmological spacetimes ⋮
Free decay of solutions to wave equations on a curved background ⋮
A Morawetz inequality for water waves ⋮
Long-time Sobolev stability for small solutions of quasi-linear Klein-Gordon equations on the circle ⋮
On paracomposition and change of variables in paradifferential operators ⋮
Global solution to the 3D Dirac-Klein-Gordon system with uniform energy bounds ⋮
On the lifting property for the Lipschitz spaces \(\varLambda_{\alpha }\) with \(\alpha >0\) ⋮
A uniqueness theorem for 3D semilinear wave equations satisfying the null condition ⋮
The partial null conditions and global smooth solutions of the nonlinear wave equations on \(\mathbb{R}^d \times \mathbb{T}\) with \(d = 2, 3\) ⋮
Stabilization for the Klein–Gordon–Zakharov system ⋮
Existence and uniqueness of solutions for shock-like hemodynamic waves model ⋮
Global Existence of Small Amplitude Solutions for a Model Quadratic Quasilinear Coupled Wave-Klein-Gordon System in Two Space Dimension, with Mildly Decaying Cauchy Data ⋮
Invariant measures for stochastic conservation laws with Lipschitz flux in the space of almost periodic functions ⋮
Asymptotics and scattering for wave Klein-Gordon systems ⋮
Global stability of traveling waves for (1 + 1)-dimensional systems of quasilinear wave equations ⋮
The zero mass problem for Klein–Gordon equations ⋮
Uniform estimates for 2D quasilinear wave ⋮
Nonlinear waves and dispersive equations. Abstracts from the workshop held June 26 -- July 2, 2022 ⋮
Global stability for a nonlinear system of anisotropic wave equations ⋮
Global solutions with asymptotic self-similar behaviour for the cubic wave equation ⋮
Global stability for charged scalar fields in an asymptotically flat metric in harmonic gauge ⋮
Rectification of a deep water model for surface gravity waves ⋮
Global stability dynamics of the timelike extremal hypersurfaces in Minkowski space ⋮
A sharpened Strichartz inequality for the wave equation ⋮
Conservation laws and Hamilton-Jacobi equations with space inhomogeneity ⋮
Scattering from infinity for semilinear wave equations satisfying the null condition or the weak null condition ⋮
Delayed singularity formation for three‐dimensional compressible Euler equations with non‐zero vorticity ⋮
Turnpike properties of optimal boundary control problems with random linear hyperbolic systems ⋮
Boundedness of the conformal hyperboloidal energy for a wave-Klein-Gordon model ⋮
Well-Posedness for a Dispersive System of the Whitham--Boussinesq Type ⋮
On the global well-posedness and scattering of the 3D Klein-Gordon-Zakharov system ⋮
Global solutions of \(2\)-\(D\) cubic Dirac equation with non-compactly supported data ⋮
Global existence and decay of small solutions for quasi-linear second-order uniformly dissipative hyperbolic-hyperbolic systems ⋮
Global stability of spacetimes with supersymmetric compactifications ⋮
On the critical exponent \(p_c\) of the 3D quasilinear wave equation \(-(1 + ( \partial_t \phi )^p) \partial_t^2 \phi + \Delta \phi = 0\) with short pulse initial data. I: Global existence ⋮
Stabilizability for a Quasilinear Klein–Gordon-Wave System with Variable Coefficients ⋮
Low Mach number limit of the compressible Navier-Stokes-Cattaneo equations with general initial data ⋮
Long time existence of smooth solutions to 2D compressible Euler equations of Chaplygin gases with non-zero vorticity ⋮
On global smooth small data solutions of 3-D quasilinear Klein-Gordon equations on \(\mathbb{R}^2\times \mathbb{T} \) ⋮
Global existence for null-form wave equations with data in a Sobolev space of lower regularity and weight ⋮
Two dimensional wave-Klein-Gordon equations with a below-critical nonlinearity ⋮
Low Mach number limit of nonisentropic inviscid Hookean elastodynamics ⋮
Global classical solutions of semilinear wave equations on \(\mathbb{R}^3\times\mathbb{T}\) with cubic nonlinearities ⋮
Global behavior of small data solutions for the 2D Dirac–Klein-Gordon system ⋮
Besov wavefront set ⋮
A variational formulation for steady surface water waves on a Beltrami flow ⋮
Stability of a coupled wave-Klein-Gordon system with non-compactly supported initial data ⋮
The time-like minimal surface equation in Minkowski space: low regularity solutions ⋮
Propagation of singularities for gravity-capillary water waves ⋮
Regularity results on the flow maps of periodic dispersive Burgers type equations and the gravity-capillary equations ⋮
The Cauchy problem for the Landau–Lifshitz–Gilbert equation in BMO and self-similar solutions ⋮
Strichartz Estimates and the Cauchy Problem for the Gravity Water Waves Equations ⋮
Decay and Asymptotics for the One-Dimensional Klein--Gordon Equation with Variable Coefficient Cubic Nonlinearities ⋮
The weak null condition in free-evolution schemes for numerical relativity: dual foliation GHG with constraint damping ⋮
The hyperboloidal numerical evolution of a good-bad-ugly wave equation ⋮
Breakdown of classical solutions to quasilinear hyperbolic systems ⋮
Global smooth solutions of some quasilinear hyperbolic systems with large data ⋮
A Phase Space Transform Adapted to the Wave Equation ⋮
Almost global existence for quasilinear wave equations in waveguides with Neumann boundary conditions ⋮
Incompressible Limit of the Nonisentropic Ideal Magnetohydrodynamic Equations ⋮
Parameteric resonance and nonexistence of the global solution to nonlinear wave equations ⋮
Entropy solution for a hyperbolic equation ⋮
On asymptotic stability in 3D of kinks for the 𝜙⁴ model ⋮
Cauchy problem for a class of quasilinear hyperbolic systems is well posed on a family of Besov spaces ⋮
The Feynman propagator on perturbations of Minkowski space ⋮
The stability of the Minkowski space for the Einstein-Vlasov system ⋮
Unnamed Item ⋮
On the Cauchy problem of degenerate hyperbolic equations ⋮
Classical solutions to a dissipative hyperbolic geometry flow in two space variables ⋮
Well-posedness of the equation for the three-form field in eleven-dimensional supergravity ⋮
On the regularizing effect of nonlinear damping in hyperbolic equations ⋮
On the blowup and lifespan of smooth solutions to a class of 2-D nonlinear wave equations with small initial data ⋮
On the wave equation with multiplicities and space-dependent irregular coefficients ⋮
The zero mass problem for Klein-Gordon equations: quadratic null interactions ⋮
Wave front sets with respect to Banach spaces of ultradistributions. Characterisation via the short-time fourier transform ⋮
Approximating sums by integrals only: multiple sums and sums over lattice polytopes ⋮
Singular behavior of vacuum states for compressible fluids ⋮
A note on quasilinear wave equations in two space dimensions. II: Almost global existence of classical solutions. ⋮
Sharp estimates for pseudo-differential operators with symbols of limited smoothness and commutators ⋮
Energy decay for small solutions to semilinear wave equations with weakly dissipative structure ⋮
The sine-Gordon regime of the Landau-Lifshitz equation with a strong easy-plane anisotropy ⋮
Blow up dynamics for the hyperbolic vanishing mean curvature flow of surfaces asymptotic to the Simons cone ⋮
The small data solutions of general 3-D quasilinear wave equations. II. ⋮
Interaction of modulated gravity water waves of finite depth ⋮
The maximum principle and sign changing solutions of the hyperbolic equation with the Higgs potential ⋮
Energy multipliers for perturbations of the Schwarzschild metric ⋮
Small data solutions of 2-D quasilinear wave equations under null conditions ⋮
The global nonlinear stability of Minkowski space for the Einstein equations in the presence of a massive field ⋮
The Lax-Mizohata theorem for nonlinear gauge invariant equations ⋮
Global existence of classical solutions to the Cauchy problem on a semi-bounded initial axis for a nonhomogeneous quasilinear hyperbolic system ⋮
Inverse problems for semilinear wave equations on Lorentzian manifolds ⋮
Variational existence theory for hydroelastic solitary waves ⋮
Lowest Landau level functional and Bargmann spaces for Bose-Einstein condensates ⋮
A nonexistence result for a nonlinear wave equation with damping on a Riemannian manifold ⋮
On the Morawetz--Keel-Smith-Sogge inequality for the wave equation on a curved background ⋮
Microlocal approach towards construction of nonreflecting boundary conditions ⋮
Global existence for systems of nonlinear wave and Klein-Gordon equations with compactly supported initial data ⋮
Modified scattering for the Klein-Gordon equation with the critical nonlinearity in three dimensions ⋮
The first Darboux problem for wave equations with nonlinear dissipative term ⋮
A geometric approach for sharp local well-posedness of quasilinear wave equations ⋮
Recovery of the \(m\)-function from spectral data for generalized Sturm-Liouville problems ⋮
Asymptotic behavior of solutions to the damped nonlinear hyperbolic equation ⋮
The Hölder continuity of the solution map to the \(b\)-family equation in weak topology ⋮
Propagation of singularities along broken characteristics ⋮
Asymptotic behavior for systems of nonlinear wave equations with multiple propagation speeds in three space dimensions ⋮
Global solutions of nonlinear wave equations in time dependent inhomogeneous media ⋮
On stationary solutions of two-dimensional Euler equation ⋮
Global existence and blowup of smooth solutions of 3-D potential equations with time-dependent damping ⋮
On the classical solutions of two dimensional inviscid rotating shallow water system ⋮
On the reduction of the interferences in the Born-Jordan distribution ⋮
On compactness estimates for hyperbolic systems of conservation laws ⋮
Distributional products and global solutions for nonconservative inviscid Burgers equation ⋮
Tauberian theorems for the wavelet transform ⋮
On global small amplitude solutions to systems of cubic nonlinear Klein--Gordon equations with different mass terms in one space dimension ⋮
Existence and decay rates of solutions to the generalized Burgers equation. ⋮
Scalar conservation laws with fractional stochastic forcing: existence, uniqueness and invariant measure ⋮
Global existence for coupled Klein-Gordon equations with different speeds ⋮
The weak null condition for Einstein's equations. ⋮
Global smooth solutions of 3-D null-form wave equations in exterior domains with Neumann boundary conditions ⋮
On weakly nonlinear waves in media exhibiting mixed nonlinearity. ⋮
Global existence and asymptotic behavior of solutions for a semi-linear wave equation ⋮
Solitary waves for the Klein-Gordon-Dirac model ⋮
Quasilinear Schrödinger equations. I: Small data and quadratic interactions ⋮
Functional properties of Hörmander's space of distributions having a specified wavefront set ⋮
Global existence of timelike minimal surface of general co-dimension in Minkowski space time ⋮
Fractional derivatives of composite functions and the Cauchy problem for the nonlinear half wave equation ⋮
Future stability of the Einstein-non-linear scalar field system ⋮
Global and almost global existence for general quasilinear wave equations in two space dimensions ⋮
On the asymptotic boundedness of the energy of solutions of the wave equation \(u_{tt}-a(t)\Delta u=0\) ⋮
Large-time behavior of smooth solutions to a nonuniformly parabolic equation ⋮
Resolution of the transport equation subject to constraint ⋮
Application of a perfectly matched layer to the nonlinear wave equation ⋮
Some geometric investigations on the Degasperis-Procesi shallow water equation ⋮
On the blowup of classical solutions to the 3-D pressure-gradient systems ⋮
Breakdown of classical solutions to the Cauchy problem on a semi-bounded initial axis for quasilinear hyperbolic systems ⋮
On the construction of Hartle-Hawking-Israel states across a static bifurcate Killing horizon ⋮
Evolution systems for paraxial wave equations of Schrödinger-type with non-smooth coefficients ⋮
Asymptotic behavior of the Maxwell-Klein-Gordon system ⋮
Inhomogeneous microlocal propagation of singularities in Fourier Lebesgue spaces ⋮
On the existence and absence of global solutions of the first Darboux problem for nonlinear wave equations ⋮
Boundedness of the total energy of relativistic membranes evolving in a curved spacetime ⋮
The global nonlinear stability of Minkowski space for self-gravitating massive fields. The wave-Klein-Gordon model ⋮
Global analysis of quasilinear wave equations on asymptotically de Sitter spaces ⋮
The first Darboux problem for wave equations with a nonlinear positive source term ⋮
Absence of shocks for one dimensional Euler-Poisson system ⋮
Global regularity for supercritical nonlinear dissipative wave equations in 3D ⋮
Global solutions to repulsive Hookean elastodynamics ⋮
Global well-posedness for 2D nonlinear wave equations without compact support ⋮
Blowup time and blowup mechanism of small data solutions to general 2-D quasilinear wave equations ⋮
On the Hardy space theory of compensated compactness quantities ⋮
The Cauchy problem for the Pavlov equation with large data ⋮
The fermionic signature operator and Hadamard states in the presence of a plane electromagnetic wave ⋮
Global existence of classical solutions to the minimal surface equation with slow decay initial value ⋮
On the solvability of one boundary value problem for some semilinear wave equations with source terms ⋮
\(L^p\) and Sobolev boundedness of pseudodifferential operators with non-regular symbol: a regularisation approach ⋮
The global stability of Minkowski space-time in harmonic gauge ⋮
Hyperbolic trapped rays and global existence of quasilinear wave equations ⋮
Long-time existence for semi-linear Klein-Gordon equations on tori ⋮
Total variation diminishing nonstandard finite difference schemes for conservation laws ⋮
Micro-local analysis with Fourier Lebesgue spaces. I ⋮
Hertz potentials and asymptotic properties of massless fields ⋮
On indefinite special Lagrangian submanifolds in indefinite complex Euclidean spaces ⋮
Almost global wellposedness of the 2-D full water wave problem ⋮
Scattering problem for a system of nonlinear Klein-Gordon equations related to Dirac-Klein-Gordon equations ⋮
Existence of solutions for hyperbolic system of second order outside a domain ⋮
Analysis of singularities for one-dimensional quasilinear hyperbolic systems ⋮
Characterisation of wave front sets by the Stockwell transform ⋮
The lifespan of solutions of semilinear wave equations with the scale-invariant damping in two space dimensions ⋮
The blowup mechanism for 3-D quasilinear wave equations with small data ⋮
Blowup of small data solutions for a class of quasilinear wave equations in two space dimensions. II ⋮
Lower bound of the time of existence for the nonlinear Klein-Gordon equation in one space dimension ⋮
Construction of entropy solutions for one-dimensional elastodynamics via time discretisation ⋮
Global existence for a quasilinear wave equation outside of star-shaped domains ⋮
Simple wave solutions for the Maxwell equations in bianisotropic, nonlinear media, with application to oblique incidence ⋮
Initial value problems for wave equations on manifolds ⋮
A note on quasilinear wave equations in two space dimensions ⋮
Formation and propagation of singularities for $2\times 2$ quasilinear hyperbolic systems ⋮
The fermionic signature operator and quantum states in Rindler space-time ⋮
Scattering for the Klein-Gordon equation with quadratic and variable coefficient cubic nonlinearities ⋮
The Small Data Solutions of General 3D Quasilinear Wave Equations. I ⋮
On some energy inequalities and supnorm estimates for advection-diffusion equations in \(\mathbb R^n\) ⋮
Global Strichartz estimates for solutions to the wave equation exterior to a convex obstacle ⋮
New polytope decompositions and Euler-Maclaurin formulas for simple integral polytopes ⋮
Trigonometric integrators for quasilinear wave equations ⋮
Formation and Construction of a Multidimensional Shock Wave for the First-Order Hyperbolic Conservation Law with Smooth Initial Data ⋮
Nonrelativistic Limit of the Compressible Navier--Stokes--Fourier--P1 Approximation Model Arising in Radiation Hydrodynamics ⋮
Stability of Minkowski space and polyhomogeneity of the metric ⋮
Global existence for small initial data in the Born–Infeld equations ⋮
Global evolution of the U(1) Higgs boson: nonlinear stability and uniform energy bounds ⋮
On the mathematical foundations of causal fermion systems in Minkowski space ⋮
Small data wave maps in cyclic spacetime ⋮
On asymptotic behavior of solutions to cubic nonlinear Klein-Gordon systems in one space dimension ⋮
Modified wave operators for a scalar quasilinear wave equation satisfying the weak null condition ⋮
Characteristic approach to the soliton resolution ⋮
A note on lower bound lifespan estimates for semi-linear wave/Klein-Gordon equations associated with the harmonic oscillator ⋮
Lagrangian regularity of the electron magnetohydrodynamics flow on a bounded domain ⋮
Global solution to the cubic Dirac equation in two space dimensions ⋮
Remarks on a system of quasi-linear wave equations in 3D satisfying the weak null condition ⋮
Algebraic structure of classical field theory: kinematics and linearized dynamics for real scalar fields ⋮
Modified scattering for the quadratic nonlinear Klein–Gordon equation in two dimensions ⋮
Local maximizers of adjoint Fourier restriction estimates for the cone, paraboloid and sphere ⋮
Classical solutions to the relativistic Euler equations for a linearly degenerate equation of state ⋮
Global smooth axisymmetric solutions to 2D compressible Euler equations of Chaplygin gases with non-zero vorticity ⋮
Global existence for a system of multiple-speed wave equations violating the null condition ⋮
Modular nuclearity: a generally covariant perspective ⋮
Fundamental results for pseudo-differential operators of type \(1, 1\) ⋮
A limit problem for three-dimensional ideal compressible radiation magneto-hydrodynamics ⋮
Global solutions of quasilinear wave-Klein–Gordon system in two-space dimension: Technical tools ⋮
Global solutions of quasilinear wave-Klein–Gordon system in two-space dimension: Completion of the proof ⋮
An extension of Bakhvalov’s theorem for systems of conservation laws with damping ⋮
Sufficiently strong dispersion removes ill-posedness in truncated series models of water waves ⋮
Global existence of a nonlinear wave equation arising from Nordström's theory of gravitation ⋮
A paradifferential approach for hyperbolic dynamical systems and applications ⋮
One-stage explicit trigonometric integrators for effectively solving quasilinear wave equations ⋮
Global smooth solutions of the 4-D quasilinear Klein-Gordon equations on the product space \(\mathbb{R}^3 \times \mathbb{T}\) ⋮
Global stability dynamics of the quasilinear damped Klein-Gordon equation with variable coefficients ⋮
Global existence for quasilinear wave equations exterior to star-shaped regions with inhomogeneous boundary conditions ⋮
Cauchy problem for incompressible neo-Hookean materials ⋮
Almost global existence for 3-D quasilinear wave equations in exterior domains with Neumann boundary conditions ⋮
Global Multidimensional Shock Waves of 2-Dimensional and 3-Dimensional Unsteady Potential Flow Equations ⋮
On the Hedstrom nonreflecting boundary condition for \(C^{2}\) solutions ⋮
Singularities of axially symmetric time-like minimal submanifolds in Minkowski space ⋮
On the Turnpike Phenomenon for Optimal Boundary Control Problems with Hyperbolic Systems ⋮
Hyperbolic mean curvature flow with a forcing term: evolution of plane curves ⋮
Remarks on decay of small solutions to systems of Klein-Gordon equations with dissipative nonlinearities ⋮
Formation and propagation of singularities in one-dimensional Chaplygin gas ⋮
Anisotropic, mixed-norm Lizorkin-Triebel spaces and diffeomorphic maps ⋮
Uniform bound of Sobolev norms of solutions to 3D nonlinear wave equations with null condition ⋮
Asymptotic stabilization of entropy solutions to scalar conservation laws through a stationary feedback law ⋮
Classical solution to relativistic Burger’s equation in SdS and SAdS space-times ⋮
Hyperbolic inverse mean curvature flow ⋮
Existence globale et comportement asymptotique pour l'équation de Klein–Gordon quasi linéaire à données petites en dimension 1 ⋮
A Paradifferential Reduction for the Gravity-capillary Waves System at Low Regularity and Applications ⋮
On the existence or absence of global solutions for the multidimensional version of the second Darboux problem for some nonlinear hyperbolic equations ⋮
On the nonexistence of global solutions of the characteristic Cauchy problem for a nonlinear wave equation in a conical domain ⋮
Periodic solutions of conservation laws constructed through Glimm scheme ⋮
A one-dimensional inviscid and compressible fluid in a harmonic potential well ⋮
Singularity Formation and Global Existence of Classical Solutions for One-Dimensional Rotating Shallow Water System ⋮
Almost global existence for the initial value problem of nonlinear elastodynamic system ⋮
Global existence of null-form wave equations in exterior domains ⋮
On the solvability of one multidimensional version of the first Darboux problem for some nonlinear wave equations ⋮
On existence and nonexistence of global solutions of Cauchy-Goursat problem for nonlinear wave equations ⋮
On the solvability of the Cauchy characteristic problem for a nonlinear equation with iterated wave operator in the principal part ⋮
Asymptotic properties of the massive scalar field in the external Schwarzschild spacetime ⋮
Global existence and asymptotics for quasi-linear one-dimensional Klein-Gordon equations with mildly decaying Cauchy data ⋮
Well-posedness theory for geometry-compatible hyperbolic conservation laws on manifolds ⋮
Classes of Generalized Functions with Finite Type Regularities ⋮
Numerical experiments on the modulation theory for the nonlinear atomic chain ⋮
Local exact Lagrangian controllability of the Burgers viscous equation ⋮
Convergence of an Engquist-Osher scheme for a multi-dimensional triangular system of conservation laws ⋮
Multivalued equations for granular avalanches ⋮
Low Mach number limit of the full Navier-Stokes equations ⋮
Dispersive decay for the 1D Klein-Gordon equation with variable coefficient nonlinearities ⋮
On the lifespan and the blowup mechanism of smooth solutions to a class of 2-D nonlinear wave equations with small initial data ⋮
Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations ⋮
The stabilizing effect of spacetime expansion on relativistic fluids with sharp results for the radiation equation of state ⋮
Type 1,1-Operators Defined by Vanishing Frequency Modulation ⋮
The global smooth symmetric solution to 2-D full compressible Euler system of Chaplygin gases ⋮
Unnamed Item ⋮
The hyperbolic mean curvature flow ⋮
Asymptotic behavior of classical solutions of reducible quasilinear hyperbolic systems with characteristic boundaries ⋮
Almost global existence for quasilinear wave equations in three space dimensions ⋮
A nonlinear approach to absorbing boundary conditions for the semilinear wave equation ⋮
Morawetz Inequalities for Water Waves ⋮
Flow solutions of transport equations ⋮
A remark on global existence for small initial data of the minimal surface equation in Minkowskian space time ⋮
Singular Support and $$\mathfrak{F}$$ L q Continuity of Pseudodifferential Operators ⋮
On the formation of shocks of electromagnetic plane waves in non-linear crystals ⋮
Nonlinear Cauchy problems with small analytic data ⋮
Regularity of the sample paths of a class of second-order SPDE's ⋮
Global structure instability of Riemann solutions of quasilinear hyperbolic systems of conservation laws: rarefaction waves ⋮
Inverse problems for nonlinear hyperbolic equations with disjoint sources and receivers ⋮
Global Well-Posedness of Incompressible Elastodynamics in Three-Dimensional Thin Domain ⋮
Well-posedness of hyperbolic initial boundary value problems ⋮
Signal Analysis Using Born–Jordan-Type Distributions ⋮
Global Solution to the Klein--Gordon--Zakharov Equations with Uniform Energy Bounds ⋮
Stability of solitary waves for the modified Camassa-Holm equation ⋮
Microlocal analysis and characterization of Sobolev wavefront sets using shearlets ⋮
Global solutions for the Dirac-Proca equations with small initial data in 3+1 space time dimensions ⋮
Neumann boundary feedback stabilization for a nonlinear wave equation: A strict \(H^2\)-Lyapunov function ⋮
Global existence of small solutions for quadratic quasilinear Klein-Gordon systems in two space dimensions ⋮
Fully localised three-dimensional gravity-capillary solitary waves on water of infinite depth ⋮
Hölder--Zygmund regularity in algebras of generalized functions ⋮
Weakly stable multidimensional shocks ⋮
Extremal problems related to convexity ⋮
On the analyticity of the trajectories of the particles in the planar patch problem for some active scalar equations ⋮
Hyperbolic mean curvature flow ⋮
Linearized Calderón problem and exponentially accurate quasimodes for analytic manifolds ⋮
Global nonlinear stability of large dispersive solutions to the Einstein equations ⋮
Nonlinear maps between Besov and Sobolev spaces ⋮
Global existence for the semi-linear wave/Klein-Gordon equation associated to the harmonic oscillator in low dimensions ⋮
Regularity, local and microlocal analysis in theories of generalized functions ⋮
Global existence and blow up for systems of nonlinear wave equations related to the weak null condition ⋮
Global bifurcation of solitary waves for the Whitham equation ⋮
The self-interacting Dirac fields in FLRW spacetime ⋮
Well-posedness of the free boundary problem in incompressible MHD with surface tension ⋮
Cauchy theory for the water waves system in an analytic framework ⋮
On the radial derivative of the delta distribution ⋮
Finite-time degeneration of hyperbolicity without blowup for quasilinear wave equations ⋮
Low Mach number limit of inviscid Hookean elastodynamics ⋮
Scattering for the quasilinear wave equations with null conditions in two dimensions ⋮
A paradifferential approach for well-posedness of the Muskat problem ⋮
Life-span of classical solutions to hyperbolic inverse mean curvature flow ⋮
A general integral of a quasilinear equation and application to a nonlinear characteristic problem ⋮
Generalized Born-Jordan distributions and applications ⋮
Microlocal regularity of nonlinear PDE in quasi-homogeneous Fourier-Lebesgue spaces ⋮
Fractional stochastic active scalar equations generalizing the multi-dimensional quasi-geostrophic \& 2D-Navier-Stokes equations: the general case ⋮
Negative-order norm estimates for nonlinear hyperbolic conservation laws ⋮
Global solutions to systems of quasilinear wave equations with low regularity data and applications ⋮
Regularity properties of distributions through sequences of functions ⋮
High-performance implementation of a Runge-Kutta finite-difference scheme for the Higgs boson equation in the de Sitter spacetime ⋮
Splitting methods for nonlinear Dirac equations with Thirring type interaction in the nonrelativistic limit regime ⋮
On the continuity and compactness of pseudodifferential operators on localizable Hardy spaces ⋮
Global solution to the wave and Klein-Gordon system under null condition in dimension two ⋮
Asymptotic behavior in time of solutions to complex-valued nonlinear Klein-Gordon equation in one space dimension ⋮
Well-posed final value problems and Duhamel's formula for coercive Lax-Milgram operators ⋮
The initial value problem for the Euler equations of incompressible fluids viewed as a concave maximization problem ⋮
A variational reduction and the existence of a fully localised solitary wave for the three-dimensional water-wave problem with weak surface tension ⋮
On the global existence and stability of a multi-dimensional supersonic conic shock wave ⋮
Global Cauchy problem for wave equations with a nonlinear damping term ⋮
The cubic Schrödinger regime of the Landau-Lifshitz equation with a strong easy-axis anisotropy ⋮
Lifespan of classical solutions to quasilinear wave equations outside of a star-shaped obstacle in four space dimensions ⋮
Semilinear hyperbolic systems violating the null condition ⋮
A global multidimensional shock wave for the steady supersonic isothermal flow ⋮
Null structure in a system of quadratic derivative nonlinear Schrödinger equations ⋮
On well-posedness of the Muskat problem with surface tension ⋮
Some theoretical results concerning diphasic flows in thin films ⋮
Local existence with physical vacuum boundary condition to Euler equations with damping ⋮
Decay estimate of solutions for a semi-linear wave equation ⋮
Global exponential stabilisation for the Burgers equation with localised control ⋮
Hyperbolic boundary value problems for symmetric systems with variable multiplicities ⋮
Global solutions of the Einstein-Maxwell equations ⋮
Zero dielectric constant limit to the non-isentropic compressible Euler-Maxwell system ⋮
Propagation and reflection of singularities for the nonlinear Schrödinger equation. ⋮
Global existence for the Einstein vacuum equations in wave coordinates ⋮
On the light ray transform of wave equation solutions ⋮
Asymptotic behavior of the solution to the Klein-Gordon-Zakharov model in dimension two ⋮
Small data global existence for a class of quadratic derivative nonlinear Schrödinger systems in two space dimensions ⋮
On the global ``two-sided characteristic Cauchy problem for linear wave equations on manifolds ⋮ A well-posedness result of a characteristic hyperbolic mixed problem ⋮ Convergence of the follow-the-leader scheme for scalar conservation laws with space dependent flux ⋮ Large data global regularity for the classical equivariant Skyrme model ⋮ Multiplicative ergodic theorem for a non-irreducible random dynamical system ⋮ Global solutions of nonlinear wave-Klein-Gordon system in one space dimension ⋮ Selection of equilibria in a linear quadratic mean-field game ⋮ A Fuchsian viewpoint on the weak null condition ⋮ Asymptotics for 1D Klein-Gordon equations with variable coefficient quadratic nonlinearities ⋮ Scattering from infinity of the Maxwell Klein Gordon equations in Lorenz gauge ⋮ Regularity of Fourier integral operators with amplitudes in general Hörmander classes ⋮ On global axisymmetric solutions to 2D compressible full Euler equations of Chaplygin gases ⋮ On the fractional relativistic Schrödinger operator ⋮ Classical solutions to relativistic Burgers equations in FLRW space-times ⋮ Control of three dimensional water waves ⋮ An existence theory for gravity-capillary solitary water waves ⋮ Quasilinear Schrödinger equations. III: Large data and short time. ⋮ On the characterizations of wave front sets in terms of the short-time Fourier transform ⋮ Long time behavior of a quasilinear hyperbolic system modelling elastic membranes ⋮ First-order hyperbolic pseudodifferential equations with generalized symbols ⋮ The nonlinear fractional relativistic Schrödinger equation: existence, multiplicity, decay and concentration results ⋮ Orbital stability of peakons for the modified Camassa-Holm equation ⋮ Ill-posedness of the mean-field dynamo equations with a linear electromotive force ⋮ Global stability for nonlinear wave equations with multi-localized initial data ⋮ Inverse scattering on the line for the nonlinear Klein-Gordon equation with a potential ⋮ Global small data smooth solutions of 2-D null-form wave equations with non-compactly supported initial data ⋮ Scale invariant effective Hamiltonians for a graph with a small compact core ⋮ Uniqueness of continuous solutions for BV vector fields ⋮ Uniform bound of the highest energy for the three dimensional incompressible elastodynamics ⋮ Scattering for 2D quasilinear wave equations with null conditions ⋮ Global existence for the quadratic Dirac equation in two and three space dimensions ⋮ Global weak and smooth solutions of the equation for timelike extremal surface in Minkowski space ⋮ Decay of entropy solutions of a scalar conservation law beyond a stationary ergodic setting ⋮ Global structure stability of Riemann solutions of quasilinear hyperbolic systems of conservation laws: shocks and contact discontinuities ⋮ Global in time self-interacting Dirac fields in the de Sitter space ⋮ About global existence and asymptotic behavior for two dimensional gravity water waves ⋮ Existence and uniqueness of solutions for a non-uniformly parabolic equation ⋮ Global stability of solutions to nonlinear wave equations