Regularity estimates for the p-Sobolev flow
Analysis of PDEs
2021-03-30 v1
Abstract
We study doubly nonlinear parabolic equation arising from the gradient flow for p-Sobolev type inequality, referred as p-Sobolev flow from now on, which includes the classical Yamabe flow on a bounded domain in Euclidean space in the special case p=2. In this article we establish a priori estimates and regularity results for the -Sobolev type flow, which are necessary for further analysis and classification of limits as time tends to infinity.
Keywords
Cite
@article{arxiv.2103.15259,
title = {Regularity estimates for the p-Sobolev flow},
author = {Tuomo Kuusi and Masashi Misawa and Kenta Nakamura},
journal= {arXiv preprint arXiv:2103.15259},
year = {2021}
}