Minimizers to reaction-diffusion PDEs, Sobolev inequalities, and monomial weights
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Document typeMaster thesis
Date2011-07
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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.
DegreeMÀSTER UNIVERSITARI EN MATEMÀTICA APLICADA (Pla 2009)
Award-winningAward-winning
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