8 citations · 8 across the 4 of their papers we have counts for
4 papers
Universally complete spaces of continuous functions
Jan Harm van der Walt
We characterise Tychonoff spaces X so that C(X) is universally σ-complete and universally complete, respectively.
Solutions of nonlinear PDEs in the completion of uniform convergence spaces
Jan Harm van der Walt
This paper deals with the solution of large classes of systems of nonlinear partial differential equations (PDEs) in spaces of generalized functions that are constructed as the com…
The uniform order convergence structure on ML(X)
Jan Harm van der Walt
The aim of this paper is to set up appropriate uniform convergence spaces in which to reformulate and enrich the Order Completion Method for nonlinear PDEs. In this regard, we cons…
The order completion method for systems of nonlinear PDEs: Pseudo-topological perspectives
Jan 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 res…