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Minimizers to reaction-diffusion PDEs, Sobolev inequalities, and monomial weightsAward-winning

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hdl:2099.1/18308

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Ros Oton, XavierMés informació
Tutor / directorCabré Vilagut, XavierMés informacióMés informacióMés informació
Document typeMaster thesis
Date2011-07
Rights accessRestricted access - author's decision
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder
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
Description
Premi Évarist Galois 2012, atorgat per la Societat Catalana de Matemàtiques.
SubjectsDifferential equations, Elliptic, Equacions diferencials el·líptiques
DegreeMÀSTER UNIVERSITARI EN MATEMÀTICA APLICADA (Pla 2009)
Award-winningAward-winning
URIhttp://hdl.handle.net/2099.1/18308
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  • Màsters oficials - Màster universitari en Matemàtica Aplicada (Pla 2009) [39]
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