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arXiv · 0706.3990

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

Jan Harm van der Walt
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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.

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Jan Harm van der Walt. 2007-06-27. The order completion method for systems of nonlinear PDEs: Pseudo-topological perspectives. https://arxiv.org/abs/0706.3990

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