Academic Report By Department Of Mathematics

Lecturer: Xiaobao Zhu Doctor (Mathematics, Chinese Academy o

Lecture Time: 2010.11.5 2:30pm-3:30pm

Lecture Place: Seminar room of mathematics department

Lecture content:

Title：Hamilton's gradient estimates and Liouville theorems for fast diffusion equations on noncompact Riemannian manifolds

Abstract：

Let M be a complete noncompact Riemannian manifold of dimension n. In this paper, we derive a local gradient estimate for positive solutions of fast diffusion equation. We also obtain a theorem of Liouville type.

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