Prof. Peter Topping, Ph.D.

A familiar property of the classical linear heat equation is `infinite speed of propagation’. This phenomenon persists for nonlinear heat equations, but a number of more subtle questions concerning the rate that information can or must be transported can have very different answers in the nonlinear setting. One sees this, for example, in the remarkable Pseudolocality Theorem of Perelman for Ricci flow.

In this talk I will explain some forthcoming work (joint with Hao Yin) in which we prove a sharp estimate for the logarithmic fast diffusion equation. This gives a clean and accessible way of understanding these subtle nonlinear phenomena, while extending and simplifying the existing literature. The estimate gives a number of new results for Ricci flow.

Datum: 10.12.2015, Raum: G03-106, Zeit: 17:00

Letzte Änderung: 10.04.2018 - Ansprechpartner: Prof. Dr. Volker Kaibel