An Lp regularity theory for harmonic maps

Reference:

Moser, R., 2012. An Lp regularity theory for harmonic maps. Submitted paper

Related documents:

Preview

PDF (harmonic_regularity.pdf) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader Download (353kB) | Preview

Abstract

Motivated by the harmonic map heat flow, we consider maps between Riemannian manifolds such that the tension field belongs to an Lp-space. Under an appropriate smallness condition, a certain degree of regularity follows. For suitable solutions of the harmonic map heat flow, we have a partial regularity result as a consequence.

Export

Actions (login required)