Colombeau solutions to nonlinear wave equations

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dc.creatorOberguggenberger, Michael
dc.date2006-12-15
dc.date.accessioned2026-07-07T07:35:23Z
dc.date.available2026-07-07T07:35:23Z
dc.descriptionThis paper is a tutorial that demonstrates various methods from the Colombeau theory of generalized functions in the context of semilinear wave equations. The Colombeau generalized functions constitute differential algebras that contain the space of distributions. We solve the 1D-semilinear wave equation in these algebras, show how delta waves can be computed and then turn to linear and nonlinear regularity theory.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0612445
dc.identifierhttp://arxiv.org/abs/math/0612445
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120073
dc.subjectAnalysis of PDEs
dc.subject35D05, 35L60, 46F30
dc.titleColombeau solutions to nonlinear wave equations
dc.typetext

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