Blow-up for semilinear wave equations with time-dependent damping in an exterior domain

DOI10.3934/CPAA.2020143zbMath1439.35089OpenAlexW3021500984MaRDI QIDQ2184885

Bessem Samet, Mohamed Jleli

Publication date: 2 June 2020

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2020143

zbMATH Keywords

Fujita critical exponent

Mathematics Subject Classification ID

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)

Cites Work

• Unnamed Item
• Unnamed Item
• Two dimensional exterior mixed problem for semilinear damped wave equations
• Asymptotic behavior of solutions to the semilinear wave equation with time-dependent damping
• Non-existence of weak solutions to nonlinear damped wave equations in exterior domains
• Decay estimates for dissipative wave equations in exterior domains
• New blow-up results for nonlinear boundary value problems in exterior domains
• Critical exponent for the semilinear wave equation with time-dependent damping
• Global existence of solutions for semilinear damped wave equation in 2-D exterior domain
• A general blow-up result on nonlinear boundary-value problems on exterior domains
• A blow-up result for a nonlinear wave equation with damping: The critical case
• Finite time blow-up for a kind of initial-boundary value problem of semilinear damped wave equation
• Critical exponent for a nonlinear wave equation with damping

This page was built for publication: Blow-up for semilinear wave equations with time-dependent damping in an exterior domain