Singular Stochastic Equations on Hilbert Spaces: Harnack Inequalities for their Transition Semigroups
نویسندگان
چکیده
We consider stochastic equations in Hilbert spaces with singular drift in the framework of [7]. We prove a Harnack inequality (in the sense of [18]) for its transition semigroup and exploit its consequences. Supported in part by “Equazioni di Kolmogorov” from the Italian “Ministero della Ricerca Scientifica e Tecnologica” Supported by the DFG through SFB-701 and IRTG 1132, by nsf-grant 0603742 as well as by the BIBOS-Research Center. The corresponding author. Supported in part by WIMCS, Creative Research Group Fund of the National Natural Science Foundation of China (No. 10721091) and the 973Project.
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