zbMath0942.35001MaRDI QIDQ4933729
Robert Dautray, Jacques Louis Lions
Publication date: 13 January 2000
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Foundations, quantum information and its processing, quantum axioms, and philosophy (81P99)
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)
Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76A99)
Introductory exposition (textbooks, tutorial papers, etc.) pertaining to partial differential equations (35-01)
Higher-dimensional potential theory (31Bxx)
Generalized solutions to partial differential equations (35Dxx)
Asymptotic analysis of parabolic equations with stiff transport terms by a multi-scale approach,
Stationary problem of complex heat transfer in a system of semitransparent bodies with boundary conditions of diffuse reflection and refraction of radiation,
A boundary control problem for micropolar fluids,
Unique Reconstruction of the Heat-Reflection Indices at Solid Interfaces,
Unilateral conditions modelling the cut front during plasma cutting: FEM solution,
Pullback attractors for a non-autonomous semilinear degenerate parabolic equation on \(\mathbb R^N\),
Radiative transfer equation with diffuse reflection and refraction conditions in a system of bodies with piecewise smooth boundaries,
On Causality of Thermoacoustic Tomography of Dissipative Tissue,
Stabilization of a class of semilinear degenerate parabolic equations by Itô noise,
Parallelized POD-based suboptimal economic model predictive control of a state-constrained Boussinesq approximation,
A weakly penalized discontinuous Galerkin method for radiation in dense, scattering media,
A meshless interpolating Galerkin boundary node method for Stokes flows,
Improved complex variable moving least squares approximation for three-dimensional problems using boundary integral equations,
Covariance structure of parabolic stochastic partial differential equations with multiplicative Lévy noise,
Splitting schemes for one class of operator differential equations,
Unique solvability of stationary radiative-conductive heat transfer problem in a system of semitransparent bodies,
Combining Radon transform and electrical capacitance tomography for a 2 d + 1 imaging device,
One dimensional explicit solution to a simplified model of stationary thermohydraulic-neutronic coupling,
A Method of Verified Computations for Solutions to Semilinear Parabolic Equations Using Semigroup Theory,
Invariant density and time asymptotics for collisionless kinetic equations with partly diffuse boundary operators,
On an optimal control problem describing lactate production inhibition,
Bounds on Herglotz functions and fundamental limits of broadband passive quasistatic cloaking,
Existence results for the Landau–Lifshitz–Baryakhtar equation,
On the Renormalization Maps for the φ -Divergence Moment Closures Applied in Radiative Transfer,
A statistical framework for domain shape estimation in Stokes flows,
Existence for a Cahn-Hilliard model for lithium-ion batteries with exponential growth boundary conditions,
A multiwavelet Galerkin boundary element method for the stationary Stokes problem in 3D,
Numerical methods and fuzzy parameters: an environmental impact assessment in aquatic systems,
Asymptotic stability of POD based model predictive control for a semilinear parabolic PDE,
Stability estimate for a multidimensional inverse spectral problem with partial spectral data,
An \(hp\) error analysis of a hybrid discontinuous mixed Galerkin method for linear viscoelasticity,
Homogenization of a submerged two-level bristle structure for modeling in biotechnology,
A mathematical formulation of the random phase approximation for crystals,
Embeddings of weighted Sobolev spaces and degenerate elliptic problems,
On Solutions and Stability of a Functional Equation Arising from a Queueing System,
On Some Functional Equations with Applications in Networks,
A multiwavelet Galerkin method for Stokes problems using boundary integral equations,
Homogenization of equations of dynamics of a medium consisting of viscoelastic material with memory and incompressible Kelvin-Voigt fluid,
Nonclassical problem with integral boundary conditions for elliptic system,
A Chimera method based on a Dirichlet/Neumann(Robin) coupling for the Navier--Stokes equations.,
Convergence of an extragradient-like iterative algorithm for monotone mappings and nonexpansive mappings,
Low-Memory, Discrete Ordinates, Discontinuous Galerkin Methods for Radiative Transport,
Weak solvability of the unconditionally stable difference scheme for the coupled sine-Gordon system,
Boundary control problem for heat convection equations with slip boundary condition,
On a class of singular elliptic problems with nonradial first-order terms.,
Unnamed Item,
Quench Detection on a Superconducting Radio-Frequency Cavity,
Radiative transport limit of Dirac equations with random electromagnetic field,
Crack problem within the context of implicitly constituted quasi-linear viscoelasticity,
Fully reliable error control for first-order evolutionary problems,
Optimal boundary control for the stationary Boussinesq equations with variable density,
Inverse problem for a nonlinear parabolic equation with nonsmooth periodic coefficients,
A Fractional Parabolic Inverse Problem Involving a Time-dependent Magnetic Potential,
Exponential stabilization of magnetoelastic waves in a Mindlin-Timoshenko plate by localized internal damping,
Some error analysis on virtual element methods,
Correction to: ``On the dissipative effect of a magnetic field in a Mindlin-Timoshenko plate model, Initial-boundary value problems for the equations of the global atmospheric electric circuit, A Numerical Approach for a System of Transport Equations in the Field of Radiotherapy, A functional Hodrick-Prescott filter, Existence and multiplicity of solutions for a supercritical elliptic problem in unbounded cylinders, Adaptive meshless Galerkin boundary node methods for hypersingular integral equations, On quasilinear parabolic equations involving weighted \(p\)-Laplacian operators, Convergence of an ADI splitting for Maxwell's equations, Penalty: finite element approximation of Stokes equations with slip boundary conditions, Numerical simulation of two-dimensional Bingham fluid flow by semismooth Newton methods, Mathematical study of the small oscillations of a spherical layer of viscous fluid about a rigid spherical core in the gravitational field, Space-Time Domain Decomposition for Reduced Fracture Models in Mixed Formulation, A Lax equivalence theorem for stochastic differential equations, An \(L^p\)-approach to the well-posedness of transport equations associated with a regular field. I, Fréchet differentiability for a damped Kirchhoff-type equation and its application to bilinear minimax optimal control problems, Optimal Control and Observation Locations for Time-Varying Systems on a Finite-Time Horizon, Quasilinear viscous approximations to scalar conservation laws, Unnamed Item, Global attractors and convergence to equilibrium for degenerate Ginzburg-Landau and parabolic equations, Some properties of boundary value problem for radiative transfer equation with diffuse reflection and refraction conditions, The INTERNODES method for non-conforming discretizations of PDEs, Benchmark Computation of Eigenvalues with Large Defect for Non-Self-adjoint Elliptic Differential Operators, Numerical Methods for Multidimensional Radiative Transfer, Numerical analysis and simulation for Rayleigh beam equation with dynamical boundary controls, Carleman Estimate for Linear Viscoelasticity Equations and an Inverse Source Problem, An application of sparse measure valued Bayesian inversion to acoustic sound source identification, Boundary output feedback control of a flexible string system with input saturation, A degenerate elliptic system with variable exponents, Quasistatic limit of a dynamic viscoelastic model with memory, Positive Filtered P$_N$ Moment Closures for Linear Kinetic Equations, A Low-Rank Schwarz Method for Radiative Transfer Equation With Heterogeneous Scattering Coefficient, Mathematical Study of a Lagrange-Multiplier Technique for Stiff Transport Problems, Mathematical analysis of static and dynamic three-dimensional models of thermo-electro-magneto-elastic solids, Control problem for a magneto-micropolar flow with mixed boundary conditions for the velocity field, On the solvability of some dynamic poroelastic problems, The radiative transfer model for the greenhouse effect, Modelling of periodic electromagnetic structures bianisotropic materials with memory effects, An optimal control problem for the steady nonhomogeneous asymmetric fluids, Possible long-range dependence in fractional random fields., Mathematical Proof of the Mandel--Cryer Effect in Poroelasticity, An inverse problem for the Schrödinger equation with variable coefficients and lower order terms