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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