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

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

2007-06-27

arxiv.org/abs/0706.3990v1

Mathematics

General Mathematics

18 pages

Scientific paper

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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