General stability and exponential growth of nonlinear variable coefficient wave equation with logarithmic source and memory term

DOI10.1002/MMA.8554zbMath1529.35096OpenAlexW4285013282MaRDI QIDQ6182024

Li-Li Sun, Long Yan

Publication date: 20 December 2023

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

Full work available at URL: https://doi.org/10.1002/mma.8554

zbMATH Keywords

instabilitynonlinear dampingvariable coefficientgeneral stabilitylogarithmic wave equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) PDEs in connection with mechanics of deformable solids (35Q74) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)

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