Stable and unstable sets for damped nonlinear wave equations with variable exponent sources
From MaRDI portal
Publication:5148672
DOI10.1063/5.0012177zbMath1459.35293OpenAlexW3124646848MaRDI QIDQ5148672
Publication date: 4 February 2021
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/5.0012177
Initial-boundary value problems for second-order hyperbolic equations (35L20) Blow-up in context of PDEs (35B44) Second-order quasilinear hyperbolic equations (35L72)
Cites Work
- Exponential decay for solutions to semilinear damped wave equation
- Lebesgue and Sobolev spaces with variable exponents
- Stable and unstable sets for evolution of parabolic and hyperbolic type
- Orlicz spaces and modular spaces
- Finite time blow-up and global solutions for semilinear parabolic equations with initial data at high energy level.
- Saddle points and instability of nonlinear hyperbolic equations
- Global nonexistence for abstract evolution equations with positive initial energy
- Existence of a solution of the wave equation with nonlinear damping and source terms
- Global nonexistence theorems for quasilinear evolution equations with dissipation
- On wave equation: review and recent results
- The dynamics of a nonlinear wave equation
- Existence of local strong solutions for motions of electrorheological fluids in three dimensions
- \(C^{1,\alpha}\)-regularity for electrorheological fluids in two dimensions
- Global solutions and finite time blow up for damped semilinear wave equations
- Stability of nonlinear hyperbolic equations
- On Global Existence, Asymptotic Stability and Blowing Up of Solutions for Some Degenerate Non-linear Wave Equations of Kirchhoff Type with a Strong Dissipation
- REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
- Sobolev embeddings with variable exponent
- Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
- Some remarks on the wave equations with nonlinear damping and source terms
- Further Global Nonexistence Theorems for Abstract Nonlinear Wave Equations
- Variable Exponent, Linear Growth Functionals in Image Restoration
- Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations
- Some nonlinear evolution equations of second order
- Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
