Weighted pseudo almost automorphic solutions for nonautonomous SPDEs driven by Lévy noise
Weighted pseudo almost automorphic solutions for nonautonomous SPDEs driven by Lévy noise
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DOI：
10.1016/j.jmaa.2015.02.071
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发表时间：
2015-07
影响因子：
1.3
通讯作者：
Kexue Li
中科院分区：
文献类型：
--
作者：
Kexue Li
本文引入了分布中加权伪几乎自同构的概念。利用演化族理论和随机分析方法，建立了一类由lsamvy噪声驱动的半线性非自治随机偏微分方程，当方程系数满足一定条件时，分布上的概自同态解和分布上的加权伪概自同态解的存在唯一性结果。此外，我们还研究了这些解的全局指数稳定性。这些结果是Wang and Liu [32]， Chen and Lin[11]以及Liu and Sun[26]的结果的推广。
In this paper, we introduce the concept of weighted pseudo almost automorphy in distribution. Using the theory of evolution family and stochastic analysis method, we establish the existence and uniqueness results of almost automorphic solutions in distribution and weighted pseudo almost automorphic solutions in distribution for some semilinear nonautonomous stochastic partial differential equations driven by Lévy noise, when the coefficients of the equations satisfy some suitable conditions. Moreover, we investigate the global exponentially stability of these solutions. The results are generalizations of the results in Wang and Liu [32], Chen and Lin [11] and Liu and Sun [26].