Sup norms of Cauchy data of eigenfunctions on manifolds with concave boundary
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Publication:4598321
DOI10.1080/03605302.2017.1349147zbMath1393.35016arXiv1411.1035OpenAlexW2964183510MaRDI QIDQ4598321
Christopher D. Sogge, Steven Zelditch
Publication date: 20 December 2017
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1411.1035
Asymptotic distributions of eigenvalues in context of PDEs (35P20) Elliptic equations on manifolds, general theory (58J05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
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Comparable upper and lower bounds for boundary values of Neumann eigenfunctions and tight inclusion of eigenvalues ⋮ Quantum ergodicity and \(L^{p}\) norms of restrictions of eigenfunctions ⋮ Number of nodal domains of eigenfunctions on non-positively curved surfaces with concave boundary
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