A product estimate, the parabolic Weyl lemma and applications
arXiv:0910.2739
Abstract
We prove a product estimate that allows to estimate the quadratic first order nonlinearity of the harmonic map flow in the norm. Then the parabolic analogue of Weyl's lemma for the Lapace operator is established. Both results are applied to prove regularity for the heat flow by parabolic bootstrapping.
27 pages