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Extinction properties of semilinear heat-equations with strong absorption

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dc.contributor.authorFriedman, Avner
dc.contributor.authorHerrero, Miguel A.
dc.date.accessioned2023-06-20T17:06:32Z
dc.date.available2023-06-20T17:06:32Z
dc.date.issued1987-06
dc.description.abstractConsider the initial-boundary value problem for ut=Δu-λu(q) with λ>0, 0<q<1; the initial data are nonnegative and the boundary data vanish. It is well known that the solution becomes extinct in finite time Τ, i.e., u(x, t) becomes identically zero for t ≥ T, where T is some positive number. In this paper we study the profile of x → u(x, t) as t → T.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.facultyInstituto de Matemática Interdisciplinar (IMI)
dc.description.refereedTRUE
dc.description.sponsorshipNational Science Foundation
dc.description.sponsorshipU.S.-Spain Joint Committee for Scientific and Technical Cooperation
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/17584
dc.identifier.doi10.1016/0022-247X(87)90013-8
dc.identifier.issn0022-247X
dc.identifier.officialurlhttp://www.sciencedirect.com/science/article/pii/0022247X87900138
dc.identifier.relatedurlhttp://www.sciencedirect.com
dc.identifier.urihttps://hdl.handle.net/20.500.14352/57783
dc.issue.number2
dc.journal.titleJournal of Mathematical Analysis and Applications
dc.language.isoeng
dc.page.final546
dc.page.initial530
dc.publisherElsevier
dc.relation.projectIDDMS-8420896
dc.relation.projectIDDMS-8501397
dc.rights.accessRightsrestricted access
dc.subject.cdu517.956.4
dc.subject.cdu517.9
dc.subject.keywordSemilinear
dc.subject.keywordstrong absorption
dc.subject.keywordinitial-boundary value problem
dc.subject.keywordinitial data
dc.subject.keywordnonnegative
dc.subject.ucmEcuaciones diferenciales
dc.subject.unesco1202.07 Ecuaciones en Diferencias
dc.titleExtinction properties of semilinear heat-equations with strong absorption
dc.typejournal article
dc.volume.number124
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