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Maximal dissipativity of Kolmogorov operators with Cahn-Hilliard type drift term |
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| Authors: | Abdelhadi Es-Sarhir Wilhelm Stannat |
| Institution: | a Technische Universität Berlin, Fakultät II, Institut für Mathematik, Straße des 17. Juni 136, D-10623 Berlin, Germany b Technische Universität Darmstadt, Fachbereich Mathematik, Schloßgartenstraße 7, D-64289 Darmstadt, Germany |
| Abstract: | We prove the existence of invariant measures μ for Kolmogorov operators LF associated with semilinear stochastic partial differential equations with Cahn-Hilliard type drift term. Based on gradient estimates on the pseudo-resolvent associated with LF and a priori estimates for the moments of μ we prove maximal dissipativity of LF in the space L1(μ). |
| Keywords: | 47D07 35K90 60H15 35R60 |
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