Random attractors via pathwise mild solutions for stochastic parabolic evolution equations

被引：0
作者：
Christian Kuehn
Alexandra Neamţu
Stefanie Sonner
机构：
[1] Technical University of Munich (TUM),Faculty of Mathematics
[2] Bielefeld University,Faculty of Mathematics
[3] Radboud University Nijmegen,IMAPP–Mathematics
来源：
Journal of Evolution Equations | 2021年 / 21卷
关键词：
Stochastic parabolic evolution equations; Pathwise mild solution; Random attractors; Fractal dimension; 60H15; 37H05; 37L55;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We investigate the longtime behavior of stochastic partial differential equations (SPDEs) with differential operators that depend on time and the underlying probability space. In particular, we consider stochastic parabolic evolution problems in Banach spaces with additive noise and prove the existence of random exponential attractors. These are compact random sets of finite fractal dimension that contain the global random attractor and are attracting at an exponential rate. In order to apply the framework of random dynamical systems, we use the concept of pathwise mild solutions.
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页码：2631 / 2663
页数：32
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