Non-concentration of Schrödinger eigenfunctions along hypersurfaces

DOI10.1016/j.na.2023.113390zbMath1526.58010OpenAlexW4387149383MaRDI QIDQ6086067

Xianchao Wu

Publication date: 9 November 2023

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2023.113390

zbMATH Keywords

Laplacian eigenfunctionsdefect measureSchrödinger eigenfunctionsrestriction bounds

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Cites Work

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• SemiclassicalL^pEstimates of Quasimodes on Submanifolds
• Exterior Mass Estimates and L2-Restriction Bounds for Neumann Data Along Hypersurfaces
• Eigenfunction restriction estimates for curves with nonvanishing geodesic curvatures in compact Riemannian surfaces with nonpositive curvature

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