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

Matteo Bonforte, Jean Dolbeault, Bruno Nazaret, Nikita Simonov (Autoren)

Buch | Softcover

166 Seiten

2025
American Mathematical Society (Verlag)
978-1-4704-7181-1 (ISBN)

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Embark on an exploration of rigorous, peer-reviewed studies in both pure and applied mathematics, assembled in cohesive volumes that blend related research topics. These long-form papers, carefully curated under expert oversight, offer a deep dive into interconnected mathematical theories and applications.

The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.

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

Erscheinungsdatum	02.07.2025
Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Maße	178 x 254 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	1-4704-7181-7 / 1470471817
ISBN-13	978-1-4704-7181-1 / 9781470471811
Zustand	Neuware