arXiv:1303.2790 Abstract | arXiv Analytics

arXiv:1303.2790 [math.AP]Abstract References Reviews Resources

Spectral properties of Schrödinger operators on compact manifolds: rigidity, flows, interpolation and spectral estimates

Jean Dolbeault, Maria J. Esteban, Ari Laptev, Michael Loss

Published 2013-03-12, updated 2013-07-24Version 2

This note is devoted to optimal spectral estimates for Schr\"odinger operators on compact connected Riemannian manifolds without boundary. These estimates are based on the use of appropriate interpolation inequalities and on some recent rigidity results for nonlinear elliptic equations on those manifolds.

Categories: math.AP, math-ph, math.DG, math.MP

Keywords: schrödinger operators, spectral properties, compact manifolds, nonlinear elliptic equations, appropriate interpolation inequalities

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