Random attractors via pathwise mild solutions for stochastic parabolic evolution equations
| Type of Publication: | Journal article |
| Publication status: | Published |
| URI (citable link): | http://nbn-resolving.de/urn:nbn:de:bsz:352-2-s67e3p6io96l7 |
| Author: | Kuehn, Christian; Neamtu, Alexandra Aurelia; Sonner, Stefanie |
| Year of publication: | 2021 |
| Published in: | Journal of Evolution Equations ; 21 (2021), 2. - pp. 2631-2663. - Springer. - ISSN 1424-3199. - eISSN 1424-3202 |
| DOI (citable link): | https://dx.doi.org/10.1007/s00028-021-00699-x |
| Summary: |
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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| Subject (DDC): | 510 Mathematics |
| Keywords: | Stochastic parabolic evolution equations, Pathwise mild solution, Random attractors, Fractal dimension |
| Link to License: | Attribution 4.0 International |
| Bibliography of Konstanz: | Yes |
| Refereed: | Yes |
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KUEHN, Christian, Alexandra Aurelia NEAMTU, Stefanie SONNER, 2021. Random attractors via pathwise mild solutions for stochastic parabolic evolution equations. In: Journal of Evolution Equations. Springer. 21(2), pp. 2631-2663. ISSN 1424-3199. eISSN 1424-3202. Available under: doi: 10.1007/s00028-021-00699-x
@article{Kuehn2021-06Rando-57999, title={Random attractors via pathwise mild solutions for stochastic parabolic evolution equations}, year={2021}, doi={10.1007/s00028-021-00699-x}, number={2}, volume={21}, issn={1424-3199}, journal={Journal of Evolution Equations}, pages={2631--2663}, author={Kuehn, Christian and Neamtu, Alexandra Aurelia and Sonner, Stefanie} }
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