Random attractors via pathwise mild solutions for stochastic parabolic evolution equations

Kurzanzeige
dc.contributor.authorKuehn, Christian
dc.contributor.authorBlessing-Neamtu, Alexandra
dc.contributor.authorSonner, Stefanie
dc.date.accessioned2022-07-11T10:20:39Z
dc.date.available2022-07-11T10:20:39Z
dc.date.issued2021-06eng
dc.description.abstractWe 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.eng
dc.description.versionpublishedeng
dc.identifier.doi10.1007/s00028-021-00699-xeng
dc.identifier.ppn1809711460
dc.identifier.urihttps://kops.uni-konstanz.de/handle/123456789/57999
dc.language.isoengeng
dc.rightsAttribution 4.0 International
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectStochastic parabolic evolution equations, Pathwise mild solution, Random attractors, Fractal dimensioneng
dc.subject.ddc510eng
dc.titleRandom attractors via pathwise mild solutions for stochastic parabolic evolution equationseng
dc.typeJOURNAL_ARTICLEeng
dspace.entity.typePublication
kops.citation.bibtex
@article{Kuehn2021-06Rando-57999,
  year={2021},
  doi={10.1007/s00028-021-00699-x},
  title={Random attractors via pathwise mild solutions for stochastic parabolic evolution equations},
  number={2},
  volume={21},
  issn={1424-3199},
  journal={Journal of Evolution Equations},
  pages={2631--2663},
  author={Kuehn, Christian and Blessing-Neamtu, Alexandra and Sonner, Stefanie}
}
kops.citation.iso690KUEHN, Christian, Alexandra BLESSING-NEAMTU, Stefanie SONNER, 2021. Random attractors via pathwise mild solutions for stochastic parabolic evolution equations. In: Journal of Evolution Equations. Springer. 2021, 21(2), pp. 2631-2663. ISSN 1424-3199. eISSN 1424-3202. Available under: doi: 10.1007/s00028-021-00699-xdeu
kops.citation.iso690KUEHN, Christian, Alexandra BLESSING-NEAMTU, Stefanie SONNER, 2021. Random attractors via pathwise mild solutions for stochastic parabolic evolution equations. In: Journal of Evolution Equations. Springer. 2021, 21(2), pp. 2631-2663. ISSN 1424-3199. eISSN 1424-3202. Available under: doi: 10.1007/s00028-021-00699-xeng
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kops.sourcefieldJournal of Evolution Equations. Springer. 2021, <b>21</b>(2), pp. 2631-2663. ISSN 1424-3199. eISSN 1424-3202. Available under: doi: 10.1007/s00028-021-00699-xdeu
kops.sourcefield.plainJournal of Evolution Equations. Springer. 2021, 21(2), pp. 2631-2663. ISSN 1424-3199. eISSN 1424-3202. Available under: doi: 10.1007/s00028-021-00699-xdeu
kops.sourcefield.plainJournal of Evolution Equations. Springer. 2021, 21(2), pp. 2631-2663. ISSN 1424-3199. eISSN 1424-3202. Available under: doi: 10.1007/s00028-021-00699-xeng
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source.periodicalTitleJournal of Evolution Equationseng
source.publisherSpringereng

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