The order completion method for systems of nonlinear PDEs: Pseudo-topological perspectives

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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

Keywords

General Mathematics, 34A34; 54A20; 06B30; 46E05

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/132529

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0706.3990
 http://arxiv.org/abs/0706.3990

Collections

arXiv