Asymptotic stability and blow up of solutions for a Petrovsky inverse source problem with dissipative boundary condition

DOI10.1002/MMA.2629zbMath1267.35258OpenAlexW2039186814MaRDI QIDQ4921723

Mohammad Shahrouzi, Faramarz Tahamtani

Publication date: 13 May 2013

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2629

zbMATH Keywords

inverse problemasymptotic stabilityblow updissipative conditionpetrovsky equation

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Inverse problems for PDEs (35R30) Blow-up in context of PDEs (35B44) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Related Items (6)

On behavior of solutions to a class of nonlinear hyperbolic inverse source problem ⋮ Blow-up analysis for a class of higher-order viscoelastic inverse problem with positive initial energy and boundary feedback ⋮ Extinction and asymptotic behavior of solutions for the \(\omega\)-heat equation on graphs with source and interior absorption ⋮ General decay and blow up of solutions for a class of inverse problem with elasticity term and variable‐exponent nonlinearities ⋮ Blow up of solutions to a class of damped viscoelastic inverse source problem ⋮ Asymptotic stability and blowup of solutions for a class of viscoelastic inverse problem with boundary feedback

Cites Work

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• Existence of a solution of the wave equation with nonlinear damping and source terms
• On the strongly damped wave equation with nonlinear damping and source terms
• Global existence and nonexistence in a system of Petrovsky

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