Blow-up solutions for a nonlinear wave equation with boundary damping and interior source

DOI10.1016/J.NA.2011.10.027zbMath1242.35061OpenAlexW2060966704MaRDI QIDQ412692

Xia Zhi, Hongyinping Feng, Sheng-Jia Li

Publication date: 4 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.10.027

zbMATH Keywords

nonlinear wave equationblow upone space dimensionboundary dampinginterior source

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)

Related Items (8)

A direct method for global nonexistence of one dimensional wave equation with nonlinear boundary-source ⋮ Blow‐up of solutions of wave equation with a nonlinear boundary condition and interior focusing source of variable order of growth ⋮ Existence and uniform decay estimates for the fourth order wave equation with nonlinear boundary damping and interior source ⋮ Unnamed Item ⋮ Blow-up of solutions of a mixed problem for systems of wave equations with boundary dissipation and with an interior nonlinear focusing source of variable growth order ⋮ Global existence and nonexistence of solutions for a viscoelastic wave equation with nonlinear boundary source term ⋮ Blow-up for the wave equation with hyperbolic dynamical boundary conditions, interior and boundary nonlinear damping and sources ⋮ Mixed problem for systems of hyperbolic equations with nonlinear boundary dissipation and a nonlinear source of variable growth order

Cites Work

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• Blow up and global existence in a nonlinear viscoelastic wave equation
• Blow up of solutions of the Cauchy problem for a wave equation with nonlinear damping and source terms and positive initial energy
• 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

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