Solving a characteristic Cauchy problem

Details Solving a characteristic Cauchy problem Solving a characteristic Cauchy problem

2008-11-14

arxiv.org/abs/0811.2256v1

Mathematics

Analysis of PDEs

23 pages; no figure

Scientific paper

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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