Global existence for the p-Sobolev flow
Analysis of PDEs
2021-03-31 v1
Abstract
In this paper, we study a doubly nonlinear parabolic equation arising from the gradient flow for p-Sobolev type inequality, referred as p-Sobolev flow. In the special case p=2 our theory includes the classical Yamabe flow on a bounded domain in Euclidean space. Our main aim is to prove the global existence of the p-Sobolev flow together with its qualitative properties.
Keywords
Cite
@article{arxiv.2103.15817,
title = {Global existence for the p-Sobolev flow},
author = {Tuomo Kuusi and Masashi Misawa and Kenta Nakamura},
journal= {arXiv preprint arXiv:2103.15817},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:2103.15259