A product estimate, the parabolic Weyl lemma and applications
Analysis of PDEs
2009-10-16 v1
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.
Keywords
Cite
@article{arxiv.0910.2739,
title = {A product estimate, the parabolic Weyl lemma and applications},
author = {Joa Weber},
journal= {arXiv preprint arXiv:0910.2739},
year = {2009}
}
Comments
27 pages