32 citations · 78 across the 15 of their papers we have counts for
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math.AP2014
On space-time quasiconcave solutions of the heat equation
Chuanqiang Chen, Xi-Nan Ma, Paolo Salani
In this paper we first obtain a constant rank theorem for the second fundamental form of the space-time level sets of a space-time quasiconcave solution of the heat equation. Utili…
math.AP2014
On the microscopic spacetime convexity principle of fully nonlinear parabolic equations II: Spacetime quasiconcave solutions
Chuanqiang Chen
In \cite{CMS}, Chen-Ma-Salani established the strict convexity of spacetime level sets of solutions to heat equation in convex rings, using the constant rank theorem and a deformat…
math.AP2014★ 3 cited
On the microscopic spacetime convexity principle for fully nonlinear parabolic equations I: Spacetime convex solutions
Chuanqiang Chen
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…