Functional inequalities for a family of infinite-dimensional diffusions with degenerate noise

被引：0

作者：

Baudoin, Fabrice ^{[1
]}

Gordina, Maria ^{[2
]}

Herzog, David P. ^{[3
]}

Kim, Jina ^{[4
]}

Melcher, Tai ^{[5
]}

机构：

[1] Aarhus Univ, Dept Math, Aarhus, Denmark

[2] Univ Connecticut, Dept Math, Storrs, CT 06269 USA

[3] Iowa State Univ, Dept Math, Ames, IA 50311 USA

[4] Trinity Univ, Dept Math, San Antonio, TX 78212 USA

[5] Univ Virginia, Dept Math, Charlottesville, VA 22903 USA

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2025年 / 288卷 / 06期

基金：

美国国家科学基金会;

关键词：

Quasi-invariance; Hypoellipticity; NAVIER-STOKES EQUATIONS; HARNACK INEQUALITIES; QUASI-INVARIANCE; ERGODICITY; HYPOCOERCIVITY;

D O I：

10.1016/j.jfa.2024.110814

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a family of infinite-dimensional diffusions with degenerate noise, we develop a modified Gamma calculus on finite-dimensional projections of the equation in order to produce explicit functional inequalities that can be scaled to infinite dimensions. The choice of our Gamma operator appears canonical in our context, as the estimates depend only on the induced control distance. We apply the general analysis to a number of examples, ex

引用

页数：45

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