Non-existence of global solutions for a class of wave equations with nonlinear damping and source terms

DOI10.1017/S0308210510001125zbMath1227.35217OpenAlexW2317806383MaRDI QIDQ3089138

Shun-Tang Wu

Publication date: 23 August 2011

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210510001125

zbMATH Keywords

Dirichlet boundary conditionnon-existencequasilinear wave equationinitial boundary value problem

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Second-order quasilinear hyperbolic equations (35L72)

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Unnamed Item ⋮ Upper and lower bounds for the blow-up time for a viscoelastic wave equation with dynamic boundary conditions ⋮ Global nonexistence of solutions for a quasilinear wave equation with acoustic boundary conditions ⋮ Global nonexistence of solutions for a nonlinear wave equation with time delay and acoustic boundary conditions ⋮ Unnamed Item

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