PROPAGATION OF NONSMOOTH WAVES UNDER SINGULAR PERTURBATIONS OF THE WAVE EQUATION

DOI10.32523/2077-9879-2022-13-3-41-50OpenAlexW4312749964MaRDI QIDQ5052698

B. E. Kanguzhin

Publication date: 25 November 2022

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

Full work available at URL: http://mathnet.ru/eng/emj445

zbMATH Keywords

wave equationevolution equationsingular perturbationsdelta-shaped perturbations

Mathematics Subject Classification ID

Wave equation (35L05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary value problems on manifolds (58J32) Hyperbolic equations on manifolds (58J45) Boundary value problems for first-order elliptic systems (35J56) Green's functions for elliptic equations (35J08)

Related Items (5)

Title not available (Why is that?) ⋮ Propagation of singularities for generalized solutions to nonlinear wave equations ⋮ Smooth solutions and singularity formation for the inhomogeneous nonlinear wave equation ⋮ Generalized smooth and weak-discontinuous unsteady waves ⋮ An analogue of the d'Alembert formula for the Gurtin-Pipkin equation with multipoint boundary conditions for zero initial data

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