Regularity and asymptotic behaviour of the wave equation with a critical nonlinearity
From MaRDI portal
Publication:1175252
DOI10.2307/1971427zbMath0736.35067OpenAlexW2054889887MaRDI QIDQ1175252
Publication date: 25 June 1992
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1971427
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (only showing first 100 items - show all)
Scattering for critical radial Neumann waves outside a ball ⋮ Profile decompositions for wave equations on hyperbolic space with applications ⋮ Finite time blow up for critical wave equations in high dimensions ⋮ GLOBAL REGULARITY FOR A LOGARITHMICALLY SUPERCRITICAL DEFOCUSING NONLINEAR WAVE EQUATION FOR SPHERICALLY SYMMETRIC DATA ⋮ Nonexistence of global weak solutions of nonlinear Keldysh type equation with one derivative term ⋮ Global well-posedness and scattering for the radial, defocusing, cubic wave equation with initial data in a critical Besov space ⋮ Well-posedness issues for some critical coupled non-linear Klein-Gordon equations ⋮ Scattering for a critical nonlinear wave equation in two space dimensions ⋮ Attractors for damped quintic wave equations in bounded domains ⋮ Global smooth solutions for a non-linear system of wave equations ⋮ Uniqueness for stochastic non-linear wave equations ⋮ A semi-linear energy critical wave equation with an application ⋮ Global well-posedness and scattering of the (4+1)-dimensional Maxwell-Klein-Gordon equation ⋮ Semi-linear wave equations ⋮ Global well-posedness of some high-order semilinear wave and Schrödinger type equations with exponential nonlinearity ⋮ Regularity of solutions of critical and subcritical nonlinear wave equations ⋮ Nonscattering solutions and blowup at infinity for the critical wave equation ⋮ Blowing-up semilinear wave equation with exponential nonlinearity in two space dimensions ⋮ Asymptotics of wave models for non star-shaped geometries ⋮ Scattering for the two-dimensional energy-critical wave equation ⋮ A note on strong instability of standing waves for some semilinear wave and heat equations ⋮ A note on the instability of a focusing nonlinear damped wave equation ⋮ Abstract Volterra integrodifferential equations with applications to parabolic models with memory ⋮ Bounded solutions to an energy subcritical non-linear wave equation on \(\mathbb{R}^3\) ⋮ Weak and Yet Weaker Solutions of Semilinear Wave Equations ⋮ Decay of the local energy for the solutions of the critical Klein-Gordon equation ⋮ Scattering for radial, semi-linear, super-critical wave equations with bounded critical norm ⋮ Nonconcentration of energy for a semilinear Skyrme model ⋮ A blowing up wave equation with exponential type nonlinearity and arbitrary positive energy ⋮ Large global solutions for energy supercritical nonlinear wave equations on \(\mathbb{R}^{3+1}\) ⋮ Critical non-linear dispersive equations: global existence, scattering, blow-up and universal profiles ⋮ Blow-up of a critical Sobolev norm for energy-subcritical and energy-supercritical wave equations ⋮ \(H^{s}\)-global well-posedness for semilinear wave equations ⋮ ON THE UNIFORM CONTINUITY OF THE SOLUTION MAP FOR A NONLINEAR WAVE EQUATION ⋮ Global well-posedness of the energy-critical defocusing NLS on \({\mathbb{R} \times \mathbb{T}^3}\) ⋮ On control of Sobolev norms for some semilinear wave equations with localized data ⋮ Global singularity structure of weak solutions to 3-D semilinear dispersive wave equations with discontinuous initial data. ⋮ Global well-posedness and scattering for the defocusing energy-supercritical cubic nonlinear wave equation ⋮ Existence globale pour une classe d'équations d'ondes perturbées. (Global existence for a class of perturbed wave equations). ⋮ Equipartition of energy in geometric scattering theory ⋮ Concerning the pathological set in the context of probabilistic well-posedness ⋮ Well-posedness in the energy space for nonlinear system of wave equations with critical growth ⋮ Global well-posedness and scattering for the radial, defocusing, cubic wave equation with almost sharp initial data ⋮ The threshold theorem for the $(4+1)$-dimensional Yang–Mills equation: An overview of the proof ⋮ Pullback attractor for a weakly damped wave equation with sup-cubic nonlinearity ⋮ The radial defocusing energy-supercritical nonlinear wave equation in all space dimensions ⋮ Uniform attractors for measure-driven quintic wave equations ⋮ Global Existence of Critical Nonlinear Wave Equation with Time Dependent Variable Coefficients ⋮ Scattering theory for the radial \(\dot{H}^{\frac{1}{2}}\)-critical wave equation with a cubic convolution ⋮ Global regularity for supercritical nonlinear dissipative wave equations in 3D ⋮ Global infinite energy solutions of the critical semilinear wave equation ⋮ Fourth-order damped wave equation with exponential growth nonlinearity ⋮ Dynamics of the focusing critical wave equation ⋮ A Support Theorem for a Nonlinear Radiation Field ⋮ On existence and uniqueness of solutions for semilinear fractional wave equations ⋮ Global existence for energy critical waves in 3-d domains ⋮ Scattering profile for global solutions of the energy-critical wave equation ⋮ Inward/outward energy theory of non-radial solutions to 3D semi-linear wave equation ⋮ Global existence and finite time blow up for a class of semilinear wave equations on \(\mathbb{R}^N\) ⋮ Global existence of solutions of the critical semilinear wave equations with variable coefficients outside obstacles ⋮ Almost sure global well-posedness for the energy-critical defocusing nonlinear wave equation on \(\mathbb R^d\), \(d=4\) and \(5\) ⋮ Finite energy self–similar solutions of a nonlinear wave equation ⋮ A semi-linear shifted wave equation on the hyperbolic spaces with application on a quintic wave equation on $\mathbb {R}^2$ ⋮ Nonlinear profile decomposition for the \(\dot{H}^{\frac{1}{2}} \times \dot{H}^{- \frac{1}{2}}(\mathbb{R}^d)\) energy subcritical wave equation ⋮ On the Critical Semilinear Wave Equation Outside Convex Obstacles ⋮ Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation ⋮ Remark on global attractor for damped wave equation on \(\mathbb{R}^{3}\) ⋮ Strichartz estimates and wave equation in a conic singular space ⋮ Long time dynamics of defocusing energy critical \(3+1\) dimensional wave equation with potential in the radial case ⋮ Stabilization and control for the subcritical semilinear wave equation ⋮ Slow blow-up solutions for the \(H^1(\mathbb R^3)\) critical focusing semilinear wave equation ⋮ The global Cauchy problem for the critical nonlinear wave equation ⋮ On the singularities of solutions to 4-D semilinear dispersive wave equations ⋮ Uniqueness for critical nonlinear wave equations and wave maps via the energy inequality ⋮ Dynamics for the energy critical nonlinear wave equation in high dimensions ⋮ Global Pointwise Decay Estimates for Defocusing Radial Nonlinear Wave Equations ⋮ The energy-critical nonlinear wave equation with an inverse-square potential ⋮ Energy distribution of radial solutions to energy subcritical wave equation with an application on scattering theory ⋮ The global well-posedness and scattering for the 5-dimensional defocusing conformal invariant NLW with radial initial data in a critical Besov space ⋮ Global solutions of nonlinear systems on hyperbolic manifolds ⋮ Scattering for the radial defocusing cubic nonlinear wave equation with initial data in the critical Sobolev space ⋮ Global smooth solutions to a class of semilinear wave equations with strong nonlinearities ⋮ Global Existence of Solutions to Nonlinear Wave Equations ⋮ Global existence and blow up of solutions for the Cauchy problem of some nonlinear wave equations ⋮ The derivation of the \(\mathbb{T}^{3}\) energy-critical NLS from quantum many-body dynamics ⋮ Regularity and scattering for the wave equation with a critical nonlinear damping ⋮ Pointwise decay for semilinear wave equations on Kerr spacetimes ⋮ Stability and Unconditional Uniqueness of Solutions for Energy Critical Wave Equations in High Dimensions ⋮ Almost-sure scattering for the radial energy-critical nonlinear wave equation in three dimensions ⋮ Scattering for critical wave equations with variable coefficients ⋮ Inverse scattering for critical semilinear wave equations ⋮ Scattering theory for the cubic nonlinear Klein-Gordon system ⋮ Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case ⋮ The Concentration-Compactness Rigidity Method for Critical Dispersive and Wave Equations ⋮ ASYMPTOTICS OF THE CRITICAL NONLINEAR WAVE EQUATION FOR A CLASS OF NON-STAR-SHAPED OBSTACLES ⋮ On the almost sure scattering for the energy-critical cubic wave equation with supercritical data ⋮ Unique global existence and asymptotic behaviour of solutions for wave equations with non-coercive critical nonlinearity ⋮ Global singularity structures of weak solutions to 4- semilinear dispersive wave equations ⋮ Existence of global solutions to the Cauchy problem for the semilinear dissipative wave equations ⋮ Strichartz estimates in the hyperbolic space and global existence for the semilinear wave equation
This page was built for publication: Regularity and asymptotic behaviour of the wave equation with a critical nonlinearity