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

AMERICAN MATHEMATICAL SOCIETYISBN: 9781470471811

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By Matteo Bonforte, Jean Dolbeault, Bruno Nazaret, Nikita Simonov
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AMERICAN MATHEMATICAL SOCIETY
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PAPERBACK
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254 x 178 mm
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Pages:
166

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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.

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

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