Geodesic
Lieb-Thirring inequalities on the torus
Sbornik. Mathematics, Tome 207 (2016) no. 10, pp. 1410-1434 Cet article a éte moissonné depuis la source Math-Net.Ru

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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 $\gamma$-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. Bibliography: 33 titles.
Keywords: Lieb-Thirring inequalities, Schrödinger operators, interpolation inequalities, attractors
Mots-clés : fractal dimension. 
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A. A. Ilyin; A. A. Laptev. Lieb-Thirring inequalities on the torus. Sbornik. Mathematics, Tome 207 (2016) no. 10, pp. 1410-1434. http://geodesic.mathdoc.fr/item/SM_2016_207_10_a3/

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