Focusing $\Phi ^4_3$-Model with a Hartree-Type Nonlinearity (Memoirs of the American Mathematical Society)

$Focusing $\Phi ^4_3$-Model with a Hartree-Type Nonlinearity (Memoirs of the American Mathematical Society)$

Focusing $\Phi ^4_3$-Model with a Hartree-Type Nonlinearity (Memoirs of the American Mathematical Society)

Oh, Tadahiro/ Okamoto, Mamoru/ Tolomeo, Leonardo

American Mathematical Society（2025/03発売）

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製本 Paperback:紙装版/ペーパーバック版／ページ数 143 p.
言語 ENG
商品コード 9781470471934

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
1. Introduction
2. Invariant dynamics for Hartree SdNLW
3. Notations and basic lemmas
4. On the stochastic terms
5. Construction of the Gibbs measures
6. Further analysis in the defocusing case: $0 <
\beta \leq 1$
7. Paracontrolled operators
8. Local well-posedness of Hartree SdNLW
9. Invariant Gibbs dynamics
A. On the parabolic stochastic quantization of the focusing Hartree Gibbs measure
B. On the regularities of the stochastic terms
C. Absolute continuity with respectto the shifted measure