Nonstationary boundary value problems for wave equation and their generalized solutions

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dc.creatorAlexeyeva, L. A.
dc.date2006-10-18
dc.date.accessioned2026-07-07T07:29:10Z
dc.date.available2026-07-07T07:29:10Z
dc.descriptionThe multivariate analogue of Dalamber's equation in the space of generalized functions is considered. The method of generalized functions for the building of solutions of nonstationary boundary value problems for wave equations in spaces of different dimensions is elaborated. Dynamic analogues of Green and Gauss formulas for solutions of wave equation in the space of generalized functions are built. Their regular integral representations and singular boundary integral equations for solving the nonstationary problems are constructed for the spaces of the dimensions 1,2,3. The method of obtaining of conditions on fronts of shock waves is stated.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0610544
dc.identifierhttp://arxiv.org/abs/math/0610544
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118001
dc.subjectAnalysis of PDEs
dc.subject35L20
dc.titleNonstationary boundary value problems for wave equation and their generalized solutions
dc.typetext

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