Concentration of Eigenfunctions Near a Concave Boundary

DOI10.1080/03605302.2011.576362zbMath1235.58019arXiv1007.0231OpenAlexW2160761315MaRDI QIDQ3106549

Sinan Ariturk

Publication date: 28 December 2011

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.0231

zbMATH Keywords

Dirichlet Laplacianeigenfunction estimatesconcave boundaryquantum ergodic

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Relations between spectral theory and ergodic theory, e.g., quantum unique ergodicity (58J51)

Related Items (2)

Distinguished representations and modular forms of half-integral weight ⋮ Quantum ergodicity and \(L^{p}\) norms of restrictions of eigenfunctions

Cites Work

• High frequency scattering by a convex obstacle
• Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds
• \(L^ p\) regularity for the wave equation with strictly convex obstacles
• Ergodicity of eigenfunctions for ergodic billiards
• Fourier integral operators. I

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