Hölder regularity for degenerate parabolic double-phase equations

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dc.contributorAalto-yliopistofi
dc.contributorAalto Universityen
dc.contributor.authorKim, Wontae
dc.contributor.authorMoring, Kristian
dc.contributor.authorSärkiö, Lauri
dc.contributor.departmentDepartment of Mathematics and Systems Analysisen
dc.contributor.groupauthorAnalysisen
dc.contributor.organizationDepartment of Mathematics and Systems Analysis
dc.contributor.organizationParis-Lodron-University of Salzburg
dc.date.accessioned2025-04-30T07:27:35Z
dc.date.available2025-04-30T07:27:35Z
dc.date.issued2025-07-25
dc.descriptionPublisher Copyright: © 2025 The Author(s)
dc.description.abstractWe prove that bounded weak solutions to degenerate parabolic double-phase equations of p-Laplace type are locally Hölder continuous. The proof is based on phase analysis and methods for the p-Laplace equation. In particular, the phase analysis determines whether the double-phase equation is locally similar to the p-Laplace or the q-Laplace equation.en
dc.description.versionPeer revieweden
dc.format.mimetypeapplication/pdf
dc.identifier.citationKim, W, Moring, K & Särkiö, L 2025, 'Hölder regularity for degenerate parabolic double-phase equations', Journal of Differential Equations, vol. 434, 113231. https://doi.org/10.1016/j.jde.2025.113231en
dc.identifier.doi10.1016/j.jde.2025.113231
dc.identifier.issn0022-0396
dc.identifier.issn1090-2732
dc.identifier.otherPURE UUID: 3e692f43-279d-47bb-809b-2bad53ab02a7
dc.identifier.otherPURE ITEMURL: https://research.aalto.fi/en/publications/3e692f43-279d-47bb-809b-2bad53ab02a7
dc.identifier.otherPURE FILEURL: https://research.aalto.fi/files/180131139/H_lder_regularity_for_degenerate_parabolic_double-phase_equations.pdf
dc.identifier.urihttps://aaltodoc.aalto.fi/handle/123456789/135111
dc.identifier.urnURN:NBN:fi:aalto-202504303421
dc.language.isoenen
dc.publisherElsevier
dc.relation.ispartofseriesJournal of Differential Equationsen
dc.relation.ispartofseriesVolume 434en
dc.rightsopenAccessen
dc.rightsCC BY
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subject.keywordHölder regularity
dc.subject.keywordParabolic double-phase equation
dc.titleHölder regularity for degenerate parabolic double-phase equationsen
dc.typeA1 Alkuperäisartikkeli tieteellisessä aikakauslehdessäfi
dc.type.versionpublishedVersion

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