Well-posedness and asymptotic behavior for stochastic reaction-diffusion equations with multiplicative Poisson noise

被引：0
|
作者：
Marinelli, Carlo [1 ]
Roeckner, Michael [2 ,3 ]
机构：
[1] Univ Bolzano, Fac Econ, I-39100 Bolzano, Italy
[2] Univ Bielefeld, Fak Math, D-33501 Bielefeld, Germany
[3] Purdue Univ, Dept Math & Stat, W Lafayette, IN 47907 USA
来源：
ELECTRONIC JOURNAL OF PROBABILITY | 2010年 / 15卷
关键词：
Stochastic PDE; reaction-diffusion equations; Poisson measures; monotone operators; LEVY NOISE; SEMIGROUPS; INEQUALITY; EVOLUTION; SPACES;
D O I：
暂无
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
We establish well-posedness in the mild sense for a class of stochastic semilinear evolution equations with a polynomially growing quasi-monotone nonlinearity and multiplicative Poisson noise. We also study existence and uniqueness of invariant measures for the associated semigroup in the Markovian case. A key role is played by a new maximal inequality for stochastic convolutions in L-p spaces.
引用
收藏
页码：1528 / 1555
页数：28
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