Existence and exponential stability of solutions for a Balakrishnan-Taylor quasilinear wave equation with strong damping and localized nonlinear damping

DOI10.1515/gmj-2023-2105zbMath1547.35457MaRDI QIDQ6603971

Zayd Hajjej

Publication date: 12 September 2024

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

zbMATH Keywords

exponential stabilityquasilinear wave equationstrong dampingBalakrishnan-Taylor damping

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems (37L65) Second-order quasilinear hyperbolic equations (35L72)

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