Moser, R., 2013. Forthcoming. An Lp regularity theory for harmonic maps. Transactions of the American Mathematical Society
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.
|Item Type ||Articles|
|Departments||Faculty of Science > Mathematical Sciences|
|Publisher Statement||harmonic_regularity.pdf: First published in Transactions of the American Mathematical Society in 2013, published by the American Mathematical Society|
Actions (login required)