Global quantitative stability of wave equations with strong and weak dampings
From MaRDI portal
Publication:6151805
DOI10.1016/j.jde.2024.01.033MaRDI QIDQ6151805
No author found.
Publication date: 11 March 2024
Published in: Journal of Differential Equations (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Second-order semilinear hyperbolic equations (35L71)
Cites Work
- Unnamed Item
- Unnamed Item
- Global existence, uniform decay and exponential growth for a class of semi-linear wave equations with strong damping
- Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation
- Sharp local well-posedness results for the nonlinear wave equation
- Asymptotics for null-timelike boundary problems for general linear wave equations
- Global low regularity solutions of quasi-linear wave equations
- Saddle points and instability of nonlinear hyperbolic equations
- Long time behavior of strongly damped nonlinear wave equations
- Existence of a solution of the wave equation with nonlinear damping and source terms
- Inelasticity of soliton collisions for the 5D energy critical wave equation
- Porous elastic system with nonlinear damping and sources terms
- Nonlinear wave equation with both strongly and weakly damped terms: supercritical initial energy finite time blow up
- Global well-posedness for 2D nonlinear wave equations without compact support
- On the strongly damped wave equation
- Global nonexistence theorems for a class of evolution equations with dissipation
- Propagation of singularities for the wave equation on conic manifolds
- Unconditionally optimal convergence of an energy-conserving and linearly implicit scheme for nonlinear wave equations
- Dispersion for the wave equation inside strictly convex domains. I: The Friedlander model case
- Propagation of singularities for the wave equation on manifolds with corners
- Well-posedness and attractors for a super-cubic weakly damped wave equation with \(H^{-1}\) source term
- Global solutions and finite time blow up for damped semilinear wave equations
- On global solution of nonlinear hyperbolic equations
- On a viscoelastic plate equation with history setting and perturbation of p-Laplacian type
- Sensitivity analysis of an inverse problem for the wave equation with caustics
- Non-autonomous dynamics of wave equations with nonlinear damping and critical nonlinearity
- Local Exact Boundary Controllability for Nonlinear Wave Equations
- Longtime Behaviour of Strongly Damped Wave Equations, Global Attractors and Their Dimension
- Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
- Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations
- Dynamics of evolutionary equations
This page was built for publication: Global quantitative stability of wave equations with strong and weak dampings