Existence and asymptotic behavior of the wave equation with dynamic boundary conditions

DOI10.1007/s00245-012-9165-1zbMath1262.35167OpenAlexW1974377996MaRDI QIDQ442569

Belkacem Said-Houari, Philip Jameson Graber

Publication date: 1 August 2012

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-012-9165-1

zbMATH Keywords

wave equationdampingblow upexponential growthsourcefinite timedynamic boundary conditionstrongly damped wave equationnonlinear boundary/interior dampingnonlinear boundary/interior sources

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)

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