A Microscopic Convexity Principle for Spacetime Convex Solutions of Fully Nonlinear Parabolic Equations

被引：3

作者：

Chuan Qiang CHEN ^{[1
]}

Bo Wen HU ^{[2
]}

机构：

[1] School of Mathematical Sciences,University of Science and Technology of China

[2] Department of Mathematics and Applied Mathematics,Southwest University of Science and

来源：

ActaMathematicaSinica | 2013年 / 29卷 / 04期

关键词：

D O I：

暂无

中图分类号：

O175.26 [抛物型方程];

学科分类号：

摘要：

We study microscopic spacetime convexity properties of fully nonlinear parabolic partial differential equations. Under certain general structure condition, we establish a constant rank theorem for the spacetime convex solutions of fully nonlinear parabolic equations. At last, we consider the parabolic convexity of solutions to parabolic equations and the convexity of the spacetime second fundamental form of geometric flows.

引用

页码：651 / 674

页数：24

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