Vortragsveranstaltung
SFB-Seminartag
Prof. Kurke, Prof. Dancer, Prof. Grigoryan
17.7.2007, 15:00 Uhr – 19:00 Uhr
Vortrag
Stability of the Harnack inequality for the heat equation and applications
Prof. Alexander Grigoryan
17.7.2007, 17:45 Uhr – 18:45 Uhr
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.