Seminar Analysis: Laura Keller (Universität Münster)

Antisymmetry and regularity

Starting from the example of harmonic maps, we will find a class of PDE problems which enjoy an additional, at first glimpse hidden property: Antisymmetry! This feature enables us to deduce regularity assertions which heavily rely on Wente's theorem. For this latter, various approaches will be discussed. The presentation will be completed by a version of Wente's result for arbitrary dimension.

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