On a wave theory for the operator \(\epsilon\partial _ t(\partial ^ 2_ t-c^ 2_ 1\Delta _ n)+\partial ^ 2_ t-c^ 2_ 0\Delta _ n\)

DOI10.1007/BF01773390zbMath0559.35045OpenAlexW2060790169MaRDI QIDQ2266170

Pasquale Renno

Publication date: 1984

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01773390

zbMATH Keywords

diffusionsingular perturbationwave propagationfundamental solutionsmaximum principlesCauchy problemasymptotic propertiesHuygens principletempered positive Radon measureswave behavior

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Fundamental solutions to PDEs (35A08) Maximum principles in context of PDEs (35B50) Initial value problems for higher-order hyperbolic equations (35L30)

Related Items (4)

ON FAST AND SLOW TIMES IN MODELS WITH DIFFUSION ⋮ Energy estimates of hyperbolic equations with dissipative lower terms ⋮ Wave hierarchies in viscoelasticity ⋮ The Inviscid Limit of Third-Order Linear and Nonlinear Acoustic Equations

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