# American Institute of Mathematical Sciences

January & February  2004, 10(1&2): 177-192. doi: 10.3934/dcds.2004.10.177

## Transition semigroups corresponding to Lipschitz dissipative systems

 1 Scuola Normale Superiore di Pisa, Piazza dei Cavalieri 7, 56126, Pisa, Italy

Received  July 2001 Revised  February 2002 Published  October 2003

We consider a semilinear differential stochastic equation in a Hilbert space $H$ with a dissipative and Lipschitz nonlinearity. We study the corresponding transition semigroup in a space $L^2(H,\nu)$ where $\nu$ is an invariant measure.
Citation: Giuseppe Da Prato. Transition semigroups corresponding to Lipschitz dissipative systems. Discrete & Continuous Dynamical Systems - A, 2004, 10 (1&2) : 177-192. doi: 10.3934/dcds.2004.10.177
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