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arXiv · 1512.01160

Lieb-Thirring inequalities on the torus

Alexei Ilyin·Ari Laptev
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Abstract

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 $γ$-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.

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Alexei Ilyin, Ari Laptev. 2015-12-03. Lieb-Thirring inequalities on the torus. https://doi.org/10.1070/sm8641

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