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.

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Description
Chapters Foreword Introduction 1. Gagliardo-Nirenberg-Sobolev inequalities by variational methods 2. The fast diffusion equation and the entropy methods 3. Linear parabolic equations: Interpolation and regularity 4. Uniform convergence in relative error and threshold time 5. Stability in Gagliardo-Nirenberg inequalities 6. Constructive stability for Sobolev's inequality 7. Discussion of the method Notations
