A generalized conservation property for the heat semigroup on weighted manifolds

Date

May 16, 2019

Time

3:15 PM - 4:15 PM

Speaker

Prof. Jun Masamune

Affiliation

Hokkaido Univ., Dept. of Mathematics

Series

TUD Mathematik Oberseminar Analysis

Language

en

Main Topic

Mathematik

Host

Prof. Dr. S. Neukamm

Description

We say that the Laplacian of a Riemannian manifold is conservative if a constant function is stable under the associated semigroup. This means that the manifold does not lose heat, which is characterized by the celebrated Khasminskii’s criterion. In this talk, we study the corresponding problem to a Schrödinger operator with nonnegative potential. Since this operator is never conservative in the classical sense, we propose a generalized conservation property and show that it is characterized by Khasminskii’s criterion. We will also discuss several applications. A joint work with Marcel Schmidt at Jena University. --------------------------------- Oberseminar Analysis https://www.math.tu-dresden.de/ana/home/oberseminar_analysis/

Last modified: Apr 30, 2019, 4:58:50 PM