Sharp Pointwise Weyl Laws for Schrödinger Operators with Singular Potentials on Flat Tori

Author:

Huang XiaoqiORCID,Zhang Cheng

Funder

AMS-Simons Travel Award

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference44 articles.

1. Arendt, W., Nittka, R., Peter, W., Steiner, F.: Weyl’s Law: Spectral Properties of the Laplacian in Mathematics and Physics. Mathematical Analysis of Evolution, Information, and Complexity, pp. 1–71. Wiley, New York (2009)

2. Avakumović, V.G.: Über die Eigenfunktionen auf geschlossenen Riemannschen Mannigfaltigkeiten. Math. Z. 65, 327–344 (1956)

3. Bérard, P.H.: On the wave equation on a compact Riemannian manifold without conjugate points. Math. Z. 155(3), 249–276 (1977)

4. Blair, M., Huang, X., Sire, Y., Sogge, C.D.: Uniform Sobolev estimates on compact manifolds involving singular potentials. Rev. Mat. Iberoam., to appear

5. Blair, M., Sire, Y., Sogge, C.D.: Quasimode, eigenfunction and spectral projection bounds for Schrödinger operators on manifolds with critically singular potentials. J. Geom. Anal., to appear

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1. Sharp Weyl laws with singular potentials;Pure and Applied Analysis;2023-04-24

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