Smoothing properties of stochastic equations in Hilbert spaces
نویسنده
چکیده
A nonlinear stochastic equation in a Hilbert space is considered, with constant but possibly degenerate diiusion term. Some smoothing properties for the associated transition semigroup are studied. In particular, strong Feller property and irreducibility are proved. The main tools are Malliavin calculus and Girsanov transformation.
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