Stochastic Cahn-Hilliard equations driven by Poisson random measures |
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| Authors: | YiMing Jiang KeHua Shi SuXin Wang |
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| Affiliation: | 1. School of Mathematical Sciences and the Key Laboratory of Pure Mathematics and Combinatorics, Ministry of Education, Nankai University, Tianjin, 300071, China
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| Abstract: | ![]()
We study a stochastic Cahn-Hilliard equation driven by a Poisson random measure with Neumann boundary conditions. The global weak solution is established for the equation. Moreover, the existence of a Lyapunov function for the equation and an invariant measure associated with the transition semigroup are proved. |
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| Keywords: | Cahn-Hilliard equations Poisson random measures Lyapunov function invariant measure |
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