Transition semigroups corresponding to Lipschitz dissipative systems.

DOI10.3934/dcds.2004.10.177zbMath1062.47043OpenAlexW2082612988MaRDI QIDQ1433913

Giuseppe Da Prato

Publication date: 1 July 2004

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2004.10.177

zbMATH Keywords

stochastic differential equationMarkov semigrouptransition semigroupdissipative system

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (8)

Essential self-adjointness of Dirichlet operators on a path space with Gibbs measures via an SPDE approach ⋮ \(L^2\)-theory for transition semigroups associated to dissipative systems ⋮ Kolmogorov equation associated to a stochastic Kuramoto-Sivashinsky equation ⋮ Strong uniqueness for both Dirichlet operators and stochastic dynamics to Gibbs measures on a path space with exponential interactions ⋮ Maximal dissipativity of Kolmogorov operators with Cahn--Hilliard type drift term ⋮ On generators of transition semigroups associated to semilinear stochastic partial differential equations ⋮ Optimal control problems for Lipschitz dissipative systems with boundary-noise and boundary-control ⋮ \(m\)-dissipativity for Kolmogorov operator of a fractional Burgers equation with space-time white noise

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