NCHU Department of Applied Mathematics & NCTS Probability Seminar Speaker:Prof. Zhen-Qing Chen (Department of Mathematics University of Washington) Title:Dirichlet problem for integro-differential operators Date & Time: October 28, 2025 (Tuesday) 16:10-17:00 Venue: Room 501, Information Science Building Abstract: Consider an integro-differential operator L in the Euclidean space that has both diffusive and non-local parts. We will show under some mild conditions, there is a Feller process having strong Feller property associated with it. We then discuss the solvability of the Dirichlet problem for L and its probabilistic representation.