Show simple item record

Authordc.contributor.authorMahmoudi, Fethi 
Authordc.contributor.authorNouaili, Nejla 
Authordc.contributor.authorZaag, Hatem 
Cita de ítemdc.identifier.citationNonlinear Analysis - Theory Methods & Applications Volumen: 131 Jan 2016en_US
Identifierdc.identifier.otherDOI: 10.1016/
General notedc.descriptionArtículo de publicación ISIen_US
Abstractdc.description.abstractWe construct a periodic solution to the semilinear heat equation with power nonlinearity, in one space dimension, which blows up in finite time T only at one blow-up point. We also give a sharp description of its blow-up profile. The proof relies on the reduction of the problem to a finite dimensional one and the use of index theory to conclude. Thanks to the geometrical interpretation of the finite-dimensional parameters in terms of the blow-up time and blow-up point, we derive the stability of the constructed solution with respect to initial data.en_US
Patrocinadordc.description.sponsorshipFondecyt Grant, Fondo Basal CMM 1140311 Millennium Nucleus Center for Analysis of PDE NC130017 ERC, BLOWDISOL 291214 ANR project, ANAE ANR-13-BS01-0010-03en_US
Type of licensedc.rightsAtribución-NoComercial-SinDerivadas 3.0 Chile*
Link to Licensedc.rights.uri*
Keywordsdc.subjectBlow-up profileen_US
Keywordsdc.subjectPeriodic semilinear heat equationen_US
Títulodc.titleConstruction of a stable periodic solution to a semilinear heat equation with a prescribed profileen_US
Document typedc.typeArtículo de revista

Files in this item


This item appears in the following Collection(s)

Show simple item record

Atribución-NoComercial-SinDerivadas 3.0 Chile
Except where otherwise noted, this item's license is described as Atribución-NoComercial-SinDerivadas 3.0 Chile