Lecture Event
SFB-Seminartag
Prof. Kurke, Prof. Dancer, Prof. Grigoryan
17 Jul 2007, 15:00 – 19:00
Talk
Stability of the Harnack inequality for the heat equation and applications
Prof. Alexander Grigoryan
17 Jul 2007, 17:45 – 18:45
We are concerned with the uniform Harnack inequality and heat kernel estimates for the heat equation on weighted Riemannian manifolds. We show that the Harnack inequality is stable under certain non-uniform changes of weight and give applications to the heat kernels of Schroedinger operators in the Euclidean spaces.