Generalized solutions to nonlinear first order Cauchy problems

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dc.creatorvan der Walt, Jan Harm
dc.date2007-09-13
dc.date.accessioned2026-07-07T08:29:16Z
dc.date.available2026-07-07T08:29:16Z
dc.descriptionThe recent significant enrichment of the Order Completion Method for nonlinear Systems of PDEs resulted in the global existence of generalized solutions to a large class of such equations. In this paper we investigate the existence and regularity of the generalized solutions to a family of nonlinear first order Cauchy problems. The spaces of generalized solutions are obtained as the completions of suitably constructed uniform convergence spaces.
dc.identifierhttps://arxiv.org/abs/0709.1994
dc.identifierhttp://arxiv.org/abs/0709.1994
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137910
dc.subjectAnalysis of PDEs
dc.subjectGeneral Topology
dc.subject35B30; 35F10; 46A19
dc.titleGeneralized solutions to nonlinear first order Cauchy problems
dc.typetext

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