Stability in Gagliardo-Nirenberg-Sobolev Inequalities: Flows, Regularity and the Entropy Method

Matteo Bonforte, Universidad Autonoma de Madrid, Spain, and Institute of Mathematical Sciences, Madrid, Spain.Jean Dolbeault, Universite Paris-Dauphine, France, Bruno Nazaret, Universite Paris, France.Mokaplan Inria, Paris, France, and Nikita Simonov, Sorbonne Universite, Paris, France.

• ChaptersForewordIntroduction1. Gagliardo-Nirenberg-Sobolev inequalities by variational methods2. The fast diffusion equation and the entropy methods3. Linear parabolic equations: Interpolation and regularity4. Uniform convergence in relative error and threshold time5. Stability in Gagliardo-Nirenberg inequalities6. Constructive stability for Sobolev's inequality7. Discussion of the methodNotations