A constant rank theorem for spacetime convex solutions of heat equation

作者：Hu Bowen; Ma Xinan^*

来源：Manuscripta Mathematica, 2012, 138(1-2): 89-118.

DOI：10.1007/s00229-011-0485-2

We prove a constant rank theorem for the spacetime Hessian of the spacetime convex solutions of standard heat equation. Moreover, we apply this technique to get a constant rank theorem for the spacetime hessian of a spacetime convex solution of a nonlinear heat equation.

• 出版日期2012-5
• 单位中国科学技术大学