An Lp regularity theory for harmonic maps

Roger Moser

doi:10.1090/S0002-9947-2014-06282-X

An L^p regularity theory for harmonic maps

Roger Moser

Department of Mathematical Sciences

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Abstract

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.

Original language	English
Pages (from-to)	1-30
Number of pages	30
Journal	Transactions of the American Mathematical Society
Volume	367
Issue number	1
Early online date	20 May 2014
DOIs	https://doi.org/10.1090/S0002-9947-2014-06282-X
Publication status	Published - 1 Jan 2015

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harmonic_regularity.pdf
First published in Transactions of the American Mathematical Society in 2013, published by the American Mathematical Society
Submitted manuscript, 354 KBLicence: CC BY-NC-ND

Roger Moser
- R.Moserbath.acuk
- Department of Mathematical Sciences - Professor
Person: Research & Teaching

Cite this

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An Lp regularity theory for harmonic maps

Abstract

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Roger Moser

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An L^p regularity theory for harmonic maps