Global nonexistence and stability of solutions of inverse problems for a class of Petrovsky systems

DOI10.1515/GMJ-2012-0028zbMath1251.35007OpenAlexW2330786132MaRDI QIDQ2918688

Faramarz Tahamtani, Mohammad Shahrouzi

Publication date: 10 October 2012

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2012-0028

zbMATH Keywords

inverse problemasymptotic stabilityglobal nonexistence

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

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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 ⋮ 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

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