Speaker: Zhao Shiliang（Sichuan University）

Title: Regularity of Feynman Path Integral

Abstract:  We prove that the integral kernel of the Schrodinger group is jointly continuous for a class of potentials which need not to be smooth. As a byproduct, we prove a short time asymptotic estimate for the integral kernel of the Schrodinger group. Moreover, when V belongs to Schwartz function classes, we can write the Schrodinger group as a Fourier integral operator and give an expansion of the symbols.

Time: 14:30Pm, 9/18/2021

Location: Room607,Science and technology building(south)