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A note on the existence of global solutions for reaction-diffusion equations with almost-monotonic nonlinearities

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dc.contributor.authorRodríguez Bernal, Aníbal
dc.date.accessioned2023-06-19T13:22:39Z
dc.date.available2023-06-19T13:22:39Z
dc.date.issued2014-03
dc.description.abstractWe show existence and uniqueness of global solutions for reaction-diffusion equations with almost-monotonic nonlinear terms in L-q(Omega) for each 1 <= q <= infinity. In particular, we do not assume restriction on the growth of the nonlinearites required by the standar local existence theory.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMEC
dc.description.sponsorshipUCM Spain
dc.description.sponsorshipEU
dc.description.sponsorshipEPSRC, UK
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/24004
dc.identifier.doi10.3934/cpaa.2014.13.635
dc.identifier.issn1534-0392
dc.identifier.officialurlhttps://www.aimsciences.org/journals/doIpChk.jsp?paperID=9061&mode=full
dc.identifier.relatedurlhttp://arxiv.org/abs/1212.2826
dc.identifier.relatedurlhttps://www.aimsciences.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/33419
dc.issue.number2
dc.journal.titleCommunications on pure and applied analysis
dc.language.isoeng
dc.page.final644
dc.page.initial635
dc.publisherAmerican Institute of Mathematical Sciences
dc.relation.projectIDMTM2009-07540
dc.relation.projectIDMTM2012-31298
dc.relation.projectIDGR58/08 Grupo 920894
dc.relation.projectIDIEF 252078 ULD3DNSE
dc.relation.projectIDEP/G007470/1
dc.rights.accessRightsopen access
dc.subject.cdu517.9
dc.subject.keywordSingular initial data
dc.subject.keywordglobal existence
dc.subject.keywordstrong solutions
dc.subject.keywordcritical exponents
dc.subject.keywordreaction diffusion
dc.subject.keywordasymptotic behavior
dc.subject.ucmEcuaciones diferenciales
dc.subject.unesco1202.07 Ecuaciones en Diferencias
dc.titleA note on the existence of global solutions for reaction-diffusion equations with almost-monotonic nonlinearities
dc.typejournal article
dc.volume.number13
dspace.entity.typePublication
relation.isAuthorOfPublicationfb7ac82c-5148-4dd1-b893-d8f8612a1b08
relation.isAuthorOfPublication.latestForDiscoveryfb7ac82c-5148-4dd1-b893-d8f8612a1b08

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