Generalized solutions to a characteristic Cauchy problem
AbstractIn 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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Bibliographic InfoPaper provided by CEREGMIA, Université des Antilles et de la Guyane in its series Documents de Travail with number 2010-04.
Length: 25 pages
Date of creation: May 2010
Date of revision:
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More information through EDIRC
algebras of generalized functions; nonlinear partial differential equations; characteristic Cauchy problem; wave equation;
This paper has been announced in the following NEP Reports:
- NEP-ALL-2011-01-03 (All new papers)
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