A blow-up result for a nonlinear damped wave equation in exterior domain: the critical case
From MaRDI portal
Publication:2403845
DOI10.1016/j.camwa.2017.03.030zbMath1379.35038OpenAlexW2605417190MaRDI QIDQ2403845
Hassan Ibrahim, Ahmad Z. Fino, Ali Wehbe
Publication date: 12 September 2017
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2017.03.030
Initial-boundary value problems for second-order hyperbolic equations (35L20) Critical exponents in context of PDEs (35B33) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)
Related Items
New blow-up results for nonlinear boundary value problems in exterior domains, A global existence result for two-dimensional semilinear strongly damped wave equation with mixed nonlinearity in an exterior domain, On global existence for semilinear wave equations with space-dependent critical damping, Weighted energy method for semilinear wave equations with time-dependent damping, On inhomogeneous exterior Robin problems with critical nonlinearities, Blow-up and lifespan estimates for solutions to the weakly coupled system of nonlinear damped wave equations outside a ball, Blow-up of solutions for the Moore-Gibson-Thompson equations on exterior domain in two dimensions., Finite time blow-up for wave equations with strong damping in an exterior domain, On the existence and nonexistence of global solutions for certain semilinear exterior problems with nontrivial Robin boundary conditions, Results of nonexistence of solutions for some nonlinear evolution problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Two dimensional exterior mixed problem for semilinear damped wave equations
- Decay of mass for nonlinear equation with fractional Laplacian
- Non-existence of weak solutions to nonlinear damped wave equations in exterior domains
- On the asymptotic behavior of solutions of semi-linear wave equations
- Existence of global solutions to the Cauchy problem for the semilinear dissipative wave equations
- Breakdown of solutions to \(\square u+u_ t=| u| ^{1+\alpha}\)
- Decay estimates for dissipative wave equations in exterior domains
- On the decay property of solutions to the Cauchy problem of the semilinear wave equation with a dissipative term
- A blow-up result for a nonlinear wave equation with damping: The critical case
- Qualitative properties of solutions to a time-space fractional evolution equation
- Critical exponent for a nonlinear wave equation with damping