Existence and Regularity of Random Attractors for Stochastic Evolution Equations Driven by Rough Noise

Kurzanzeige
dc.contributor.authorBlessing-Neamtu, Alexandra
dc.contributor.authorSeitz, Tim
dc.date.accessioned2024-10-10T08:06:59Z
dc.date.available2024-10-10T08:06:59Z
dc.date.issued2025-12
dc.description.abstractThis work establishes the existence and regularity of random pullback attractors for parabolic partial differential equations with rough nonlinear multiplicative noise under natural assumptions on the coefficients. To this aim, we combine tools from rough path theory and random dynamical systems. An application is given by partial differential equations with rough boundary noise, for which flow transformations are not available.
dc.description.versionpublisheddeu
dc.identifier.doi10.1007/s10884-024-10393-4
dc.identifier.ppn1944417117
dc.identifier.urihttps://kops.uni-konstanz.de/handle/123456789/70951
dc.language.isoeng
dc.rightsAttribution 4.0 International
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectRough partial differential equations
dc.subjectSingular Gronwall inequality
dc.subjectRandom pullback attractors
dc.subjectRough boundary noise
dc.subject.ddc510
dc.titleExistence and Regularity of Random Attractors for Stochastic Evolution Equations Driven by Rough Noiseeng
dc.typeJOURNAL_ARTICLE
dspace.entity.typePublication
kops.citation.bibtex
@article{BlessingNeamtu2025-12Exist-70951,
  title={Existence and Regularity of Random Attractors for Stochastic Evolution Equations Driven by Rough Noise},
  year={2025},
  doi={10.1007/s10884-024-10393-4},
  number={4},
  volume={37},
  issn={1040-7294},
  journal={Journal of Dynamics and Differential Equations},
  pages={2951--2979},
  author={Blessing-Neamtu, Alexandra and Seitz, Tim}
}
kops.citation.iso690BLESSING-NEAMTU, Alexandra, Tim SEITZ, 2025. Existence and Regularity of Random Attractors for Stochastic Evolution Equations Driven by Rough Noise. In: Journal of Dynamics and Differential Equations. Springer. 2025, 37(4), S. 2951-2979. ISSN 1040-7294. eISSN 1572-9222. Verfügbar unter: doi: 10.1007/s10884-024-10393-4deu
kops.citation.iso690BLESSING-NEAMTU, Alexandra, Tim SEITZ, 2025. Existence and Regularity of Random Attractors for Stochastic Evolution Equations Driven by Rough Noise. In: Journal of Dynamics and Differential Equations. Springer. 2025, 37(4), pp. 2951-2979. ISSN 1040-7294. eISSN 1572-9222. Available under: doi: 10.1007/s10884-024-10393-4eng
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kops.sourcefield.plainJournal of Dynamics and Differential Equations. Springer. 2025, 37(4), pp. 2951-2979. ISSN 1040-7294. eISSN 1572-9222. Available under: doi: 10.1007/s10884-024-10393-4eng
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