Stochastic Cahn-Hilliard equations driven by Poisson random measures

Stochastic Cahn-Hilliard equations driven by Poisson random measures

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 semigrou...

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Veröffentlicht in:Science China. Mathematics 2014-12, Vol.57 (12), p.2563-2576
Hauptverfasser: Jiang, YiMing, Shi, KeHua, Wang, SuXin
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Boundary conditions
China
d方程
Group theory
Invariants
Lyapunov functions
Mathematical analysis
Mathematics
Mathematics and Statistics
Stochasticity
不变测度
函数方程
李亚普诺夫
松
诺伊曼边界条件
随机测度
驱动
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Beschreibung
Zusammenfassung: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.
ISSN:1674-7283
1869-1862
DOI:10.1007/s11425-014-4856-5