Detalles de Evento
Título: Stability in Gagliardo-Nirenberg and (Log) Sobolev inequalities.
Conferenciante: Nikita Simonov (Sorbonne Université, Paris).
Resumen:
In certain functional inequalities, the best constants and minimizers are known. The next natural question concerns stability: if a function “almost attains equality,” in what sense is it close to one of the minimizers? We will discuss a recent result on quantitative stability for a certain family of Gagliardo-Nirenberg, Sobolev, and Logarithmic Sobolev inequalities. Our approach is based on the carré du champ method for a family of suitable diffusion equations, enabling us to derive fully constructive estimates. This talk is based on a series of results obtained in collaboration with Matteo Bonforte (UAM), Giovanni Brigati (ISTA), Jean Dolbeault (CEREMADE–Dauphine), and Bruno Nazaret (Paris 1, Panthéon-Sorbonne).
Toda la información puede encontrarse en: Seminario de Ecuaciones Diferenciales.
