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- W3102128668 abstract "We prove existence of invariant measures for the Markovian semigroup generated by the solution to a parabolic semilinear stochastic PDE whose nonlinear drift term satisfies only a kind of symmetry condition on its behavior at infinity, but no restriction on its growth rate is imposed. Thanks to strong integrability properties of invariant measures $mu$, solvability of the associated Kolmogorov equation in $L^1(mu)$ is then established, and the infinitesimal generator of the transition semigroup is identified as the closure of the Kolmogorov operator. A key role is played by a generalized variational setting." @default.
- W3102128668 created "2020-11-23" @default.
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- W3102128668 date "2018-09-22" @default.
- W3102128668 modified "2023-10-16" @default.
- W3102128668 title "Ergodicity and Kolmogorov Equations for Dissipative SPDEs with Singular Drift: a Variational Approach" @default.
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- W3102128668 doi "https://doi.org/10.1007/s11118-018-9731-5" @default.
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