Resumen de The Order Completion Method for Systems of Nonlinear PDEs: Pseudo-topological Perspectives

Jam Harm van der Walt

• 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.