Well-posedness of fully nonlinear and nonlocal critical parabolic equations
Analysis of PDEs
2012-01-04 v2
Abstract
In this paper we prove the existence of smooth solutions to fully nonlinear and nonlocal parabolic equations with critical index. The proof relies on the apriori H\"older estimate for advection fractional-diffusion equation established by Silvestre \cite{Si2}.
Keywords
Cite
@article{arxiv.1111.1874,
title = {Well-posedness of fully nonlinear and nonlocal critical parabolic equations},
author = {Xicheng Zhang},
journal= {arXiv preprint arXiv:1111.1874},
year = {2012}
}
Comments
20pages, a maximal principle was added