Generalized solutions to nonlinear first order Cauchy problems
Analysis of PDEs
2007-09-14 v1 General Topology
Abstract
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.
Cite
@article{arxiv.0709.1994,
title = {Generalized solutions to nonlinear first order Cauchy problems},
author = {Jan Harm van der Walt},
journal= {arXiv preprint arXiv:0709.1994},
year = {2007}
}