Math Seminar Series
(Conferences / Seminars / Lectures)
Mathematical Physics and Operator Algebras more information...
Speaker: Kazuhiro Kuwae, Fukuoka University
Title: Stability of estimates for fundamental solutions under Feynman-Kac perturbations for symmetric Markov processes
Time: 11:30 AM - 12:30 PM
Place: C304 Wells Hall
This is a joint work with Daehong Kim (Kumamoto) and Panki Kim (Seoul). We give a necessary and sufficient condition on the stability of global (upper) estimates for fundamental solution of Feynman-Kac semigroup of symmetric Markov processes under the stability of global heat kernel (upper) estimates by bounded perturbations. As a corollary, a weak type global (upper) estimate holds for the fundamental solution of Feynman-Kac semigroup with (extended) Kato class conditions for measures provided the stability of global heat kernel (upper) estimates by bounded perturbations holds. This generalizes the all known results on the stability of global integral kernel estimates by symmetric Feynman-Kac perturbations with Kato class conditions in the framework of symmetric Markov processes.