演講訊息 TALKS

In this talk we consider a Kolmogorov operator K_0 in a Hilbert space H, related to a SPDE with jumps. We show that K_0 is essentially m-dissipative in the space L^p ([0,T]×H;ν), p≧1, where ν(dt,dx)=ν_t (dx)dt and the family {ν_t }_([0,T]) is a solution of the Fokker-Planck equation given by K_0. We also prove that uniqueness of solutions to the Fokker-Planck equation. This result is a generalization of the SPDE considered in [V. Bogachev, G. Da Prato, M. Röcker, Fokker-Planck equations and maximal dissipativity for Kolmogorov operators with time dependent singular drifts in Hilbert space, Journal of Functional Analysis, 256(2009) 1269-1298] to SPDE with jumps.