Weak Laplacian Bounds and Minimal Boundaries in Non-smooth Spaces with Ricci Curvature Lower Bounds (Memoirs of the American Mathematical Society)

Mondino, Andrea/ Fahs, Benjamin/ Webb, Christian

American Mathematical Society（2025/08発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 117 p.
• 言語 ENG
• 商品コード 9781470474171

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.

Contents

Chapters;
1. Introduction and Main Results;
2. Differential Identities and Overview of the Proofs;
3. Analysis of $\theta $-functions;
4. Analysis of the Riemann-Hilbert Problem for $Y$;
5. The Main Parametrix;
6. Local Parametrices;
7. Solving the Small Norm Problem;
8. Ratio Asymptotics for Non-singular Symbols;
9. Ratio Asymptotics for Fisher-Hartwig Symbols;
10. Partition Function Asymptotics for the $k$-cut Chebyshev Potential;
11. Partition Function Asymptotics