On a singularly perturbed wave equation with dynamic boundary conditions

DOI10.1017/S0308210500003279zbMath1058.35020OpenAlexW2149091853MaRDI QIDQ4831446

Luminiţa Popescu, Aníbal Rodgriguez-Bernal

Publication date: 29 December 2004

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500003279

zbMATH Keywords

linear wave equationsinterior and boundary dampingformal parabolic limit

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Initial-boundary value problems for higher-order parabolic equations (35K35) Singular perturbations in context of PDEs (35B25)

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Exponential attractors for parabolic equations with dynamic boundary conditions ⋮ Pullback attractors for multivalued processes and application to nonautonomous problems with dynamic boundary conditions ⋮ Attractors for parabolic equations with dynamic boundary conditions ⋮ Uniform attractors for the non-autonomous \(p\)-Laplacian equations with dynamic flux boundary conditions ⋮ Hyperbolic relaxation of reaction-diffusion equations with dynamic boundary conditions ⋮ Pullback attractors for non-autonomous reaction-diffusion equations with dynamical boundary conditions ⋮ Regularity results and exponential growth for pullback attractors of a non-autonomous reaction-diffusion model with dynamical boundary conditions

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