An L^p regularity theory for harmonic maps

Roger Moser

OAI: oai:purehost.bath.ac.uk:openaire_cris_publications/94a63ce7-e880-4435-a1b0-6b408fe88d7b • DOI: https://doi.org/10.1090/S0002-9947-2014-06282-X

Motivated by the harmonic map heat flow, we consider maps between Riemannian manifolds such that the tension field belongs to an L^p-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.