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Minimizers to reaction-diffusion PDEs, Sobolev inequalities, and monomial weights
| dc.contributor | Cabré Vilagut, Xavier |
| dc.contributor.author | Ros Oton, Xavier |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
| dc.date.accessioned | 2013-05-28T13:24:15Z |
| dc.date.issued | 2011-07 |
| dc.identifier.uri | http://hdl.handle.net/2099.1/18308 |
| dc.description | Premi Évarist Galois 2012, atorgat per la Societat Catalana de Matemàtiques. |
| dc.description.abstract | 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.. 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.iso | eng |
| dc.publisher | Universitat Politècnica de Catalunya |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en derivades parcials |
| dc.subject.lcsh | Differential equations, Elliptic |
| dc.subject.other | extremal solution |
| dc.subject.other | sobolev inequalities |
| dc.subject.other | extremal solution |
| dc.title | Minimizers to reaction-diffusion PDEs, Sobolev inequalities, and monomial weights |
| dc.type | Master thesis |
| dc.subject.lemac | Equacions diferencials el·líptiques |
| dc.description.awardwinning | Award-winning |
| dc.subject.ams | Classificació AMS::35 Partial differential equations::35J Partial differential equations of elliptic type |
| dc.rights.access | Restricted access - author's decision |
| dc.date.lift | 10000-01-01 |
| dc.audience.educationlevel | Màster |
| dc.audience.mediator | Universitat Politècnica de Catalunya. Facultat de Matemàtiques i Estadística |
| dc.audience.degree | MÀSTER UNIVERSITARI EN MATEMÀTICA APLICADA (Pla 2009) |