Lieb-Thirring inequalities on the torus

被引：7

作者：

Ilyin, A. A. ^{[1
]}

Laptev, A. A. ^{[2
,3
]}

机构：

[1] Russian Acad Sci, Keldysh Inst Appl Math, Moscow, Russia

[2] Imperial Coll London, London, England

[3] Inst Mittag Leffler, Djursholm, Sweden

来源：

SBORNIK MATHEMATICS | 2016年 / 207卷 / 10期

基金：

俄罗斯科学基金会;

关键词：

Lieb-Thirring inequalities; Schrodinger operators; interpolation inequalities; attractors; fractal dimension; NAVIER-STOKES EQUATIONS; FRACTAL DIMENSION; SIMPLE PROOF; ATTRACTORS; CONSTANTS; BOUNDS; TURBULENCE; EXPONENTS; SYSTEMS;

D O I：

10.1070/SM8641

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the Lieb-Thirring inequalities on the d-dimensional torus with arbitrary periods. In the space of functions with zero average with respect to the shortest coordinate we prove the Lieb-Thirring inequalities for the.-moments of the negative eigenvalues with constants independent of ratio of the periods. Applications to the attractors of the damped Navier-Stokes system are given.

引用

页码：1410 / 1434

页数：25

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