Title: Superpersition principle for nonlocal Fokker-Planck operators
Reporter: Prof. ZHANG Xicheng (WuHan University)
Time: Nov 23, 2019 (Saturday) AM 10:40-11:20
Location: B1410# room, Innovation Park Building
Contact: Prof. LIU Zhenxin (tel:84708351-8039)
Abstract: We prove the superposition principle for probability measure solutions to non-local Fokker-Planck equations, which in turn yields the equivalence between martingale solutions for SDEs with jumps and non-local PDEs with rough coefficients. As an application, we obtain a probabilistic representation for the strong solution of fractional porous media equations.(This is a joint work with Michael Rockner and Longjie Xie).