The convexity study for harmonic function and parabolic equation

  • Xinan Ma (University of Science and Technology of China, Hefei)
A3 01 (Sophus-Lie room)


We first give a sharp lower bounded estimates for the Gaussian curvature of the level sets for the harmonic function on convex rings. Then we study the relation between the Gaussian curvature and the height of the harmonic function. At last we report our recently work on the convexity works on parabolic equation.

Katharina Matschke

MPI for Mathematics in the Sciences Contact via Mail