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math.AP2010★ 20 cited
Curvature estimates for the level set of spatial quasiconcave solutions to a class of parabolic equations
Chuanqiang Chen, Shujun Shi
We prove a constant rank theorem for the second fundamental form of the spatial convex level surfaces of solutions to equations $u_t=F(\n^2u, \n u, u, t)$ under a structural condit…
math.AP2010★ 1 cited
A constant rank theorem for partial convex solutions of partial differential equations
Chuanqiang Chen
Thanks to the test function of Bian-Guan[2], we successfully obtain a constant rank theorem for partial convex solutions of a class partial differential equations. This is the micr…