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Semiclassical estimates for pseudodifferential operators and the Muskat problem in the unstable regime

dc.contributor.authorArnaiz, Víctor
dc.contributor.authorCastro, Ángel
dc.contributor.authorFaraco Hurtado, Daniel 
dc.contributor.otherUAM. Departamento de Matemáticases_ES
dc.date.accessioned2022-03-11T11:16:02Z
dc.date.available2022-03-11T11:16:02Z
dc.date.issued2020-10-14
dc.identifier.citationCommunications in Partial Differential Equations 46.1 (2021): 135-164en_US
dc.identifier.issn0360-5302 (print)es_ES
dc.identifier.issn1532-4133 (online)es_ES
dc.identifier.urihttp://hdl.handle.net/10486/700684
dc.description.abstractWe obtain new semiclassical estimates for pseudodifferential operators with low regular symbols. Such symbols appear naturally in a Cauchy Problem related to recent weak solutions to the unstable Muskat problem constructed via convex integration. In particular, our new estimates reveal the tight relation between the speed of opening of the mixing zone and the regularity of the interphaseen_US
dc.description.sponsorshipVA, AC and DF have been supported by the Spanish Ministry of Economy under the ICMAT Severo Ochoa grant SEV2015-0554 and VA and AC also by the Europa Excelencia program 28 V. ARNAIZ ET AL. ERC2018-092824. AC is partially supported by the MTM2017-89976-P and the ERC Advanced (Grant no. 788250). D.F is supported by the ERC Advanced (Grant 834728) and by the MTM2017-85934-C3-2-Pen_US
dc.format.extent24 pag.es_ES
dc.format.mimetypeapplication/pdfes_ES
dc.language.isoengen_US
dc.publisherTaylor and Francisen_US
dc.relation.ispartofCommunications in Partial Differential Equationsen_US
dc.rights© 2020 Taylor & Francis Group, LLC.en_US
dc.subject.otherMuskat problemen_US
dc.subject.otherPseudodifferential operatorsen_US
dc.subject.otherSemiclassical analysisen_US
dc.titleSemiclassical estimates for pseudodifferential operators and the Muskat problem in the unstable regimeen_US
dc.typearticleen_US
dc.subject.ecienciaMatemáticases_ES
dc.date.embargoend2021-10-14
dc.relation.publisherversionhttps://doi.org/10.1080/03605302.2020.1831019es_ES
dc.identifier.doi10.1080/03605302.2020.1831019es_ES
dc.identifier.publicationfirstpage135es_ES
dc.identifier.publicationissue1es_ES
dc.identifier.publicationlastpage164es_ES
dc.identifier.publicationvolume46es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/H2020/788250/EU//NONFLUes_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/H2020/834728/EU//QUAMAPes_ES
dc.relation.projectIDGobierno de España. MTM2017-89976-Pes_ES
dc.type.versioninfo:eu-repo/semantics/acceptedVersionen_US
dc.rights.ccReconocimiento – NoComercial – SinObraDerivadaes_ES
dc.rights.accessRightsopenAccessen_US
dc.authorUAMFaraco Hurtado, Daniel (261045)
dc.facultadUAMFacultad de Ciencias


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