On the microscopic spacetime convexity principle for fully nonlinear parabolic equations I: Spacetime convex solutions

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}.

appear in Discrete Contin. Dyn. Syst. This is the latest version

References in corpus (2)

• A Microscopic Convexity Principle for Nonlinear Partial Differential Equations
• Curvature estimates for the level set of spatial quasiconcave solutions to a class of parabolic equations

Cited by in corpus (1)

• A Sharp Height Estimate for the Spacelike Constant Mean Curvature Graph in the Lorentz-Minkowski Space