Systems of nonlinear wave equations with damping and supercritical boundary and interior sources
From MaRDI portal
Publication:5400804
DOI10.1090/S0002-9947-2014-05772-3zbMath1286.35156MaRDI QIDQ5400804
Yanqiu Guo, Mohammad A. Rammaha
Publication date: 12 March 2014
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Weak solutions to PDEs (35D30) Hyperbolic equations on manifolds (58J45) Initial-boundary value problems for second-order hyperbolic systems (35L53)
Related Items (24)
On the Diffusive Limits of Radiative Heat Transfer System I: Well-Prepared Initial and Boundary Conditions ⋮ Global existence and decay of energy to systems of wave equations with damping and supercritical sources ⋮ Asymptotic analysis and upper semicontinuity to a system of coupled nonlinear wave equations ⋮ Local and global existence of solutions to a strongly damped wave equation of the \(p\)-Laplacian type ⋮ Weak solutions and blow-up for wave equations of p-Laplacian type with supercritical sources ⋮ Well-posedness of Mindlin-Timoshenko plate with nonlinear boundary damping and sources ⋮ Porous elastic system with nonlinear damping and sources terms ⋮ Blow-up theorems for a structural acoustics model ⋮ On the asymptotic behavior of solutions to a structural acoustics model ⋮ Long-time behavior of a nonlinearly-damped three-layer Rao-Nakra sandwich beam ⋮ On wave equations of the \(p\)-Laplacian type with supercritical nonlinearities ⋮ Blow-up of positive initial energy solutions for a system of nonlinear wave equations with supercritical sources ⋮ Unnamed Item ⋮ Energy decay of a viscoelastic wave equation with supercritical nonlinearities ⋮ Blow-up of a hyperbolic equation of viscoelasticity with supercritical nonlinearities ⋮ Blow-up result and energy decay rates for binary mixtures of solids with nonlinear damping and source terms ⋮ Quasi-stability and continuity of attractors for nonlinear system of wave equations ⋮ Hadamard well-posedness for a hyperbolic equation of viscoelasticity with supercritical sources and damping ⋮ Global solutions to a structure acoustic interaction model with nonlinear sources ⋮ Blow-up of solutions for a nonlinear viscoelastic wave equation with initial data at arbitrary energy level ⋮ Global well-posedness for nonlinear wave equations with supercritical source and damping terms ⋮ Hadamard well-posedness for a structure acoustic model with a supercritical source and damping terms ⋮ Initial-boundary value problem for a fourth-order plate equation with Hardy-Hénon potential and polynomial nonlinearity ⋮ Global existence and blow-up of solution for the semilinear wave equation with interior and boundary source terms
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Local and global wellposedness of weak solutions for the wave equation with nonlinear boundary and interior sources of supercritical exponents and damping
- Systems of nonlinear wave equations with damping and source terms.
- On existence, uniform decay rates and blow up for solutions of systems of nonlinear wave equations with damping and source terms
- Global existence and blow up of solutions to systems of nonlinear wave equations with degenerate damping and source terms
- Optimal decay rates for solutions of a nonlinear wave equation with localized nonlinear dissipation of unrestricted growth and critical exponent source terms under mixed boundary conditions
- Well-posedness and optimal decay rates for the wave equation with nonlinear boundary damping-source interaction
- Uniqueness of weak solutions for the semilinear wave equations with supercritical boundary/interior sources and damping
- Local Hadamard well-posedness for nonlinear wave equations with supercritical sources and damping
- Das Anfangswertproblem im Großen für eine Klasse nichtlinearer Wellengleichungen
- Sharp regularity theory for second order hyperbolic equations of Neumann type. I: \(L_ 2\) nonhomogeneous data
- Abstract non linear wave equations
- Saddle points and instability of nonlinear hyperbolic equations
- Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
- Existence of a solution of the wave equation with nonlinear damping and source terms
- Global nonexistence theorems for quasilinear evolution equations with dissipation
- Analysis and control of nonlinear infinite dimensional systems
- Critical blowup for systems of semilinear wave equations in low space dimensions
- Global existence and decay of energy to systems of wave equations with damping and supercritical sources
- Energy decay rates for the semilinear wave equation with nonlinear localized damping and source terms
- Weak solutions to the Cauchy problem of a semilinear wave equation with damping and source terms
- Non-linear semi-groups
- Mathematical Control Theory of Coupled PDEs
- Blow-up of solutions to systems of nonlinear wave equations with supercritical sources
- The influence of damping and source terms on solutions of nonlinear wave equations
- Long-time behavior of second order evolution equations with nonlinear damping
- Blow-up of weak solutions for the semilinear wave equations with nonlinear boundary and interior sources and damping
- Critically and degenerately damped systems of nonlinear wave equations with source terms
- Global existence and non-existence theorems for nonlinear wave equations
- Global existence and nonexistence for nonlinear wave equations with damping and source terms
- Mixed problem for some semi-linear wave equation with a nonhomogeneous condition
- ON THE ATTRACTOR FOR A SEMILINEAR WAVE EQUATION WITH CRITICAL EXPONENT AND NONLINEAR BOUNDARY DISSIPATION
- Some remarks on the wave equations with nonlinear damping and source terms
- Interpolation in $L^{p}$ with boundary conditions
This page was built for publication: Systems of nonlinear wave equations with damping and supercritical boundary and interior sources
