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Superpersition principle for nonlocal Fokker-Planck operators

2019-11-22
 

Academic Report


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).