Growth of high $L^p$ norms for eigenfunctions: an application of geodesic beams

DOI10.2140/apde.2023.16.2267zbMath1530.35164arXiv2003.04597OpenAlexW3010928057MaRDI QIDQ6145250

Publication date: 9 January 2024

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.04597

zbMATH Keywords

eigenfunctions $L^p$ norms high energy microlocal second microlocal

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Elliptic equations on manifolds, general theory (58J05)

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Improvements for eigenfunction averages: an application of geodesic beams

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Growth of high \(L^p\) norms for eigenfunctions: an application of geodesic beams