Stability in Gagliardo-Nirenberg-Sobolev Inequalities: Flows, Regularity and the Entropy Method (Memoirs of the American Mathematical Society)

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Stability in Gagliardo-Nirenberg-Sobolev Inequalities: Flows, Regularity and the Entropy Method (Memoirs of the American Mathematical Society)

Bonforte, Matteo/ Dolbeault, Jean/ Nazaret, Bruno

American Mathematical Society（2025/07発売）

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製本 Paperback:紙装版/ペーパーバック版／ページ数 166 p.
言語 ENG
商品コード 9781470471811

Full Description

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.

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