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SUMMARY:Nikita Simonov - Stability in Gagliardo-Nirenberg-Sobolev inequali
 ties - 
DTSTART:20220607T135000Z
DTEND:20220607T143500Z
UID:TALK175160@talks.cam.ac.uk
DESCRIPTION:In some functional inequalities\, best constants and minimizer
 s are known. The next question is stability: suppose that a function "almo
 st attains the equality"\, in which sense it is close to one of the minimi
 zers? In this lecture\, I will address a recent result on the quantitative
  stability of a subfamily of Gagliardo-Nirengerg-Sobolev inequalities. The
  approach is based on the entropy method for the fast diffusion equation a
 nd allows us to obtain completely constructive estimates. The results are 
 based on joint work with M. Bonforte\, J. Dolbeault\, and B. Nazaret.
LOCATION:Seminar Room 2\, Newton Institute
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