Non-uniformly parabolic equations and applications to the random conductance model

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dc.contributor.authorBella, Peter
dc.contributor.authorSchäffner, Mathias
dc.date.accessioned2022-04-13T14:06:47Z
dc.date.available2022-04-13T14:06:47Z
dc.date.issued2021-07-30
dc.description.abstractWe study local regularity properties of linear, non-uniformly parabolic finite-difference operators in divergence form related to the random conductance model on Zd. In particular, we provide an oscillation decay assuming only certain summability properties of the conductances and their inverse, thus improving recent results in that direction. As an application, we provide a local limit theorem for the random walk in a random degenerate and unbounded environment.en
dc.identifier.urihttp://hdl.handle.net/2003/40853
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-22710
dc.language.isoende
dc.relation.ispartofseriesProbability Theory and Related Fields;Bd. 182. 2022, H. 1-2 pp 353–397
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectProcesses in random environmentsen
dc.subjectFunctional limit theoremsen
dc.subjectSmoothness and regularity of solutions to PDEsen
dc.subjectDegenerate parabolic equationsen
dc.subject.ddc510
dc.titleNon-uniformly parabolic equations and applications to the random conductance modelen
dc.typeTextde
dc.type.publicationtypearticlede
dcterms.accessRightsopen access
eldorado.secondarypublicationtruede
eldorado.secondarypublication.primarycitationProbability theory and related fields. Vol. 182. 2022, Issue 1/2, pp 353–397en
eldorado.secondarypublication.primaryidentifierhttps://doi.org/10.1007/s00440-021-01081-1de

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