Solving a characteristic Cauchy problem
Analysis of PDEs
2008-11-17 v1
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.
Keywords
Cite
@article{arxiv.0811.2256,
title = {Solving a characteristic Cauchy problem},
author = {Emmanuel Allaud and Victor Devoue},
journal= {arXiv preprint arXiv:0811.2256},
year = {2008}
}
Comments
23 pages; no figure