Global existence, blow-up and optimal decay for a nonlinear viscoelastic equation with nonlinear damping and source term
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Publication:6096990
DOI10.3934/dcdsb.2023038zbMath1520.35019OpenAlexW4321795757MaRDI QIDQ6096990
Qiancheng Ouyang, Zai-Yun Zhang
Publication date: 9 June 2023
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2023038
perturbed energy methodpotential well methodoptimal decayGalerkin approximation methodnonlinear viscoelastic wave equationglobal existence and blow-up
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09) Second-order quasilinear hyperbolic equations (35L72)
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