Generalized solutions to a characteristic Cauchy problem

Emmanuel Allaud and Victor Dévoué
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Emmanuel Allaud: AOC, Université des Antilles et de la Guyane
Victor Dévoué: CEREGMIA, Université des Antilles et de la Guyane

No 2010-04, Documents de Travail from CEREGMIA, Université des Antilles et de la Guyane

Abstract: 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.

Keywords: algebras of generalized functions; nonlinear partial differential equations; characteristic Cauchy problem; wave equation (search for similar items in EconPapers)
Pages: 25 pages
Date: 2010-05
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Citations: View citations in EconPapers (1)

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