Improved regularity for the stochastic fast diffusion equation

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dc.contributorAalto-yliopistofi
dc.contributorAalto Universityen
dc.contributor.authorCiotir, Ioanaen_US
dc.contributor.authorGoreac, Danen_US
dc.contributor.authorTölle, Jonas M.en_US
dc.contributor.departmentDepartment of Mathematics and Systems Analysisen
dc.contributor.groupauthorMathematical Statistics and Data Scienceen
dc.contributor.groupauthorAnalysisen
dc.contributor.organizationUniversity of Rouen Normandyen_US
dc.contributor.organizationGustave Eiffel Universityen_US
dc.date.accessioned2024-03-06T10:37:34Z
dc.date.available2024-03-06T10:37:34Z
dc.date.issued2024-02-23en_US
dc.description.abstractWe prove that the solution to the singular-degenerate stochastic fast-diffusion equation with parameter $m\in (0,1)$, with zero Dirichlet boundary conditions on a bounded domain in any spatial dimension, and driven by linear multiplicative Wiener noise, exhibits improved regularity in the Sobolev space $W^{1,m+1}_0$ for initial data in $L^{2}$.en
dc.description.versionPeer revieweden
dc.format.extent7
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationCiotir, I, Goreac, D & Tölle, J M 2024, 'Improved regularity for the stochastic fast diffusion equation', Electronic Communications in Probability, vol. 29, 5, pp. 1–7. < http://10.1214/24-ECP575 >en
dc.identifier.issn1083-589X
dc.identifier.otherPURE UUID: 84f0692a-7d29-44f3-978b-8496c39376a8en_US
dc.identifier.otherPURE ITEMURL: https://research.aalto.fi/en/publications/84f0692a-7d29-44f3-978b-8496c39376a8en_US
dc.identifier.otherPURE LINK: http://10.1214/24-ECP575en_US
dc.identifier.otherPURE FILEURL: https://research.aalto.fi/files/140110691/Improved_regularity_for_the_stochastic_fast_diffusion_equation.pdfen_US
dc.identifier.urihttps://aaltodoc.aalto.fi/handle/123456789/126920
dc.identifier.urnURN:NBN:fi:aalto-202403062555
dc.language.isoenen
dc.publisherInstitute of Mathematical Statistics
dc.relation.ispartofseriesElectronic Communications in Probabilityen
dc.relation.ispartofseriesVolume 29, pp. 1–7en
dc.rightsopenAccessen
dc.subject.keywordStochastic singular-degenerate diffusion equationen_US
dc.subject.keywordstochastic partial differential equationen_US
dc.subject.keywordstochastic fast diffusion equationen_US
dc.subject.keywordimproved Sobolev regularityen_US
dc.subject.keywordlinear multiplicative Wiener noiseen_US
dc.titleImproved regularity for the stochastic fast diffusion equationen
dc.typeA1 Alkuperäisartikkeli tieteellisessä aikakauslehdessäfi
dc.type.versionpublishedVersion

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