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dc.contributorCabré Vilagut, Xavier
dc.contributor.authorRos Oton, Xavier
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.date.accessioned2013-05-28T13:24:15Z
dc.date.issued2011-07
dc.identifier.urihttp://hdl.handle.net/2099.1/18308
dc.descriptionPremi Évarist Galois 2012, atorgat per la Societat Catalana de Matemàtiques.
dc.description.abstractReaction-diffusion equations play a central role in PDE theory and its applications to other sciences. They also play an important role in geometric problems: the problem of prescribing a curvature on a manifold and parabolic flows on manifolds. The aim of this project is the study of the regularity of minimizers to reaction-diffusion equations in certain doimains with symmetries and, as a consequence of it, some new Sobolev inequalities with monomial weights.. Reaction-diffusion equations play a central role in PDE theory and its applications to other sciences. They also play an important role in geometric problems: the problem of prescribing a curvature on a manifold and parabolic flows on manifolds. The aim of this project is the study of the regularity of minimizers to reaction-diffusion equations in certain doimains with symmetries and, as a consequence of it, some new Sobolev inequalities with monomial weights
dc.language.isoeng
dc.publisherUniversitat Politècnica de Catalunya
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en derivades parcials
dc.subject.lcshDifferential equations, Elliptic
dc.subject.otherextremal solution
dc.subject.othersobolev inequalities
dc.subject.otherextremal solution
dc.titleMinimizers to reaction-diffusion PDEs, Sobolev inequalities, and monomial weights
dc.typeMaster thesis
dc.subject.lemacEquacions diferencials el·líptiques
dc.description.awardwinningAward-winning
dc.subject.amsClassificació AMS::35 Partial differential equations::35J Partial differential equations of elliptic type
dc.rights.accessRestricted access - author's decision
dc.date.lift10000-01-01
dc.audience.educationlevelMàster
dc.audience.mediatorUniversitat Politècnica de Catalunya. Facultat de Matemàtiques i Estadística


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