Generalized solutions to a characteristic Cauchy problem

In this paper we give a meaning to the nonlinear characteristic Cauchy problem for the Wave Equation in base form by replacing it by a family of non-characteristic ones. This leads to a well formulated problem in an appropriate algebra of generalized functions. We prove existence of a solution and we precise how it depends on the choice made. We also check that in the classical case (non-characteristic) our new solution coincides with the classical one.

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Year of publication:	2010-05
Authors:	Allaud, Emmanuel ; Dévoué, Victor
Institutions:	Centre d'Études et de Recherche en Économie, Gestion, Modélisation et Informatique Appliquée (CEREGMIA), Université des Antilles et de la Guyane
Subject:	algebras of generalized functions \| nonlinear partial differential equations \| characteristic Cauchy problem \| wave equation

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Extent:	application/pdf
Series:	Documents de Travail.
Type of publication:	Book / Working Paper
Notes:	Number 2010-04 25 pages
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10008763746