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Title:
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Minimizers to reaction-diffusion PDEs, Sobolev inequalities, and monomial weights
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Author:
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Ros Oton, Xavier
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Cabré Vilagut, Xavier |
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Abstract:
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Premi Évarist Galois 2012, atorgat per la Societat Catalana de Matemàtiques. |
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Abstract:
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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 |
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Abstract:
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Award-winning |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en derivades parcials
-Differential equations, Elliptic
-extremal solution
-sobolev inequalities
-extremal solution
-Equacions diferencials el·líptiques
-Classificació AMS::35 Partial differential equations::35J Partial differential equations of elliptic type |
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Rights:
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Document type:
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Research/Master Thesis |
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Published by:
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Universitat Politècnica de Catalunya
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