The order completion method for systems of nonlinear PDEs: Pseudo-topological perspectives
arXiv:0706.3990
Abstract
By setting up appropriate uniform convergence structures, we are able to reformulate the Order Completion Method of Oberguggenberger and Rosinger in a setting that more closely resembles the usual topological constructions for solving PDEs. As an application, we obtain existence and uniqueness results for the solutions of arbitrary continuous, nonlinear PDEs.
18 pages