On the loss of mass for the heat equation in an exterior domain with general boundary conditions

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dc.contributor.authorRodríguez Bernal, Aníbal
dc.contributor.authorDomínguez de Tena, Joaquín
dc.date.accessioned2023-11-22T12:27:24Z
dc.date.available2023-11-22T12:27:24Z
dc.date.issued2023-10-30
dc.description.abstractIn this work, we study the decay of mass for solutions to the heat equation in exterior domains, i.e., domains which are the complement of a compact set in RN . Different homogeneous boundary conditions are considered, including Dirichlet, Robin, and Neumann conditions. We determine the exact amount of mass loss and identify criteria for complete mass decay, in which the dimension of the space plays a key role. Furthermore, the paper provides explicit mass decay rates.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.facultyInstituto de Ciencias Matemáticas (ICMAT)
dc.description.refereedFALSE
dc.description.sponsorshipMICINN
dc.description.sponsorshipUCM
dc.description.statusunpub
dc.identifier.essn2316-9028
dc.identifier.issn1982-6907
dc.identifier.urihttps://hdl.handle.net/20.500.14352/88909
dc.journal.titleSão Paulo Journal of Mathematical Sciences
dc.language.isoeng
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-103860GB-I00/ES/ASPECTOS LINEALES Y NO LINEALES EN ECUACIONES EN DERIVADAS PARCIALES. DINAMICA ASINTOTICA Y PERTURBACIONES/
dc.relation.projectIDinfo:eu-repo/grant/Agreement/AEI/Plan Estatal de Investigación Científica, Técnica y de Innovación 2021-2023/PID2022-137074NB-I00/
dc.relation.projectIDinfo:eu-repo/grant/Agreement/AEI//CEX2019-000904-S/
dc.rights.accessRightsopen access
dc.subject.keywordHeat equation
dc.subject.keywordExterior domain
dc.subject.keywordMass loss
dc.subject.keywordAsymptotic mass
dc.subject.keywordDecay rates
dc.subject.keywordDirichlet
dc.subject.keywordNeumann
dc.subject.keywordRobin
dc.subject.keywordBoundary conditions
dc.subject.ucmEcuaciones diferenciales
dc.subject.unesco1202.20 Ecuaciones Diferenciales en derivadas Parciales
dc.titleOn the loss of mass for the heat equation in an exterior domain with general boundary conditions
dc.typejournal article
dspace.entity.typePublication
relation.isAuthorOfPublicationfb7ac82c-5148-4dd1-b893-d8f8612a1b08
relation.isAuthorOfPublication.latestForDiscoveryfb7ac82c-5148-4dd1-b893-d8f8612a1b08
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