Uniform Sobolev estimates on compact manifolds involving singular potentials

DOI10.4171/RMI/1300zbMath1493.58013arXiv2009.06075OpenAlexW3198575970MaRDI QIDQ2157362

Xiaoqi Huang, Matthew D. Blair, Christopher D. Sogge, Yannick Sire

Publication date: 27 July 2022

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.06075

zbMATH Keywords

eigenfunctionsuniform Sobolev estimatesquasimode estimates

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (2)

Sharp pointwise Weyl laws for Schrödinger operators with singular potentials on flat tori ⋮ From spectral cluster to uniform resolvent estimates on compact manifolds

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