Backward Blow-up Estimates and Initial Trace for a Parabolic System of Reaction-Diffusion

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dc.contributor.authorBidaut Veron, Marie Francoise
dc.contributor.authorGarcia Huidobro, Marta
dc.contributor.authorYarur, Cecilia
dc.date.accessioned2024-01-10T12:04:26Z
dc.date.available2024-01-10T12:04:26Z
dc.date.issued2010
dc.description.abstractIn this article we study the positive solutions of the parabolic semilinear system of competitive type
dc.description.abstract{u(t) - Delta u + v(p) = 0, u(t) - Delta v + u(q) = 0,
dc.description.abstractin Omega x (0, T), where Omega is a domain of R(N), and p, q > 0, pq not equal 1. Despite of the lack of comparison principles, we prove local upper estimates in the superlinear case pq > 1 of the form
dc.description.abstractu(x, t) <= Ct(-(p+1)/(pq-1)), v(x, t) <= Ct(-(q+1)/(pq-1))
dc.description.abstractin omega x (0, T(1)), for any domain omega subset of subset of Omega, T(1) is an element of (0, T), and C = C(N,p,q,T1,omega). For p, q > 1, we prove the existence of an initial trace at time 0, which is a Borel measure on Omega. Finally we prove that the punctual singularities at time 0 are removable when p,q >= 1+2/N.
dc.description.funderFondecyt
dc.description.funderEcos-Conicyt
dc.format.extent22 páginas
dc.fuente.origenWOS
dc.identifier.issn1536-1365
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/75795
dc.identifier.wosidWOS:000280268000010
dc.information.autorucMatemática;Garcia-Huidobro M;S/I;60600
dc.issue.numero3
dc.language.isoen
dc.nota.accesoSin adjunto
dc.pagina.final728
dc.pagina.inicio707
dc.publisherADVANCED NONLINEAR STUDIES, INC
dc.revistaADVANCED NONLINEAR STUDIES
dc.rightsregistro bibliográfico
dc.subjectParabolic semilinear systems of reaction-diffusion
dc.subjectcompetitive systems
dc.subjectbackward estimates
dc.subjectinitial trace
dc.subjectsingularities
dc.subjectPOSITIVE SOLUTIONS
dc.subjectELLIPTIC-SYSTEMS
dc.subjectEQUATIONS
dc.subjectABSORPTION
dc.titleBackward Blow-up Estimates and Initial Trace for a Parabolic System of Reaction-Diffusion
dc.typeartículo
dc.volumen10
sipa.codpersvinculados60600
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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