Lieb-Thirring inequalities on some manifolds
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Publication:414725
DOI10.4171/JST/21zbMath1308.58004arXiv1104.2488MaRDI QIDQ414725
Publication date: 11 May 2012
Published in: Journal of Spectral Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1104.2488
Estimates of eigenvalues in context of PDEs (35P15) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10) Spectral theory; eigenvalue problems on manifolds (58C40)
Related Items (8)
Cwikel estimates and negative eigenvalues of Schrödinger operators on noncommutative tori ⋮ Upper bounds for the attractor dimension of damped Navier-Stokes equations in \(\mathbb R^2\) ⋮ Lieb-Thirring inequalities on the torus ⋮ Lieb–Thirring inequalities on the sphere ⋮ On the rate of convergence as $ t\to+\infty$ of the distributions of solutions to the stationary measure for the stochastic system of the Lorenz model describing a baroclinic atmosphere ⋮ Lieb-Thirring constant on the sphere and on the torus ⋮ Dixmier trace formulas and negative eigenvalues of Schrödinger operators on curved noncommutative tori ⋮ Estimates for the dimension of attractors of a regularized Euler system with dissipation on the sphere
Cites Work
- On a class of inequalities for orthonormal systems
- On an inequality of Lieb and Thirring
- Lieb-Thirring inequalities with improved constants
- A simple proof of the generalized Lieb-Thirring inequalities in one-space dimension
- New bounds on the Lieb-Thirring constants
- A simple proof of a theorem of Laptev and Weidl
- Small viscosity sharp estimates for the global attractor of the 2D damped-driven Navier-Stokes equations
- Asymptotic expansions and extremals for the critical Sobolev and Gagliardo–Nirenberg inequalities on a torus
- Lieb-Thirring Inequalities on the N -Sphere and in the Plane, and Some Applications
- Best Constants in Multiplicative Inequalities for Sup-Norms
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