Generalized solutions to nonlinear first order Cauchy problems

Details Generalized solutions to nonlinear first order Cauchy problems Generalized solutions to nonlinear first order Cauchy problems

2007-09-13

arxiv.org/abs/0709.1994v1

Mathematics

Analysis of PDEs

Scientific paper

The recent significant enrichment of the Order Completion Method for nonlinear Systems of PDEs resulted in the global existence of generalized solutions to a large class of such equations. In this paper we investigate the existence and regularity of the generalized solutions to a family of nonlinear first order Cauchy problems. The spaces of generalized solutions are obtained as the completions of suitably constructed uniform convergence spaces.

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