Critically and degenerately damped systems of nonlinear wave equations with source terms

DOI10.1080/00036811.2010.483423zbMath1198.35147OpenAlexW2068646930MaRDI QIDQ3580881

Sawanya Sakuntasathien, Mohammad A. Rammaha

Publication date: 13 August 2010

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2010.483423

zbMATH Keywords

Dirichlet boundary conditionsglobal well-posednessenergy identitydamping and source terms

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71) Initial-boundary value problems for second-order hyperbolic systems (35L53)

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Cites Work

• Global existence and blow up of solutions to systems of nonlinear wave equations with degenerate damping and source terms
• Abstract non linear wave equations
• Saddle points and instability of nonlinear hyperbolic equations
• Existence of a solution of the wave equation with nonlinear damping and source terms
• Global nonexistence theorems for quasilinear evolution equations with dissipation
• Blow-up theorems for nonlinear wave equations
• Global existence and non-existence theorems for nonlinear wave equations
• Global existence and nonexistence for nonlinear wave equations with damping and source terms
• On nonlinear wave equations with degenerate damping and source terms
• Blow-up of generalized solutions to wave equations with nonlinear degenerate damping and source terms

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