On the microscopic spacetime convexity principle for fully nonlinear parabolic equations I: Spacetime convex solutions
Analysis of PDEs
2014-05-26 v4
Abstract
Spacetime convexity is a basic geometric property of the solutions of parabolic equations. In this paper, we study microscopic convexity properties of spacetime convex solutions of fully nonlinear parabolic partial differential equations and give a new simple proof of the constant rank theorem in \cite{CH13}.
Keywords
Cite
@article{arxiv.1403.5077,
title = {On the microscopic spacetime convexity principle for fully nonlinear parabolic equations I: Spacetime convex solutions},
author = {Chuanqiang Chen},
journal= {arXiv preprint arXiv:1403.5077},
year = {2014}
}
Comments
appear in Discrete Contin. Dyn. Syst. This is the latest version