Solving a characteristic Cauchy problem

Emmanuel Allaud; Victor Devoue

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arXiv · 0811.2256

Solving a characteristic Cauchy problem

Emmanuel Allaud·Victor Devoue

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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 problems 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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Emmanuel Allaud, Victor Devoue. 2008-11-14. Solving a characteristic Cauchy problem. https://arxiv.org/abs/0811.2256

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