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.
