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Growth rates of Laplace eigenfunctions on the unit disk

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Publication:6618833
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DOI10.1007/S40316-023-00219-YMaRDI QIDQ6618833

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Publication date: 15 October 2024

Published in: Annales Mathématiques du Québec (Search for Journal in Brave)




zbMATH Keywords

spectral theoryLaplacianBessel functionunit disk


Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)


Cites Work

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  • Oscillatory integrals and spherical harmonics
  • \(L^p\) norms of eigenfunctions in the completely integrable case
  • Riemannian manifolds with uniformly bounded eigenfunctions
  • UNIFORM BOUNDS FOR EIGENFUNCTIONS OF THE LAPLACIAN ON MANIFOLDS WITH BOUNDARY*
  • Uniform Bounds for Bessel Functions
  • “Best possible” upper and lower bounds for the zeros of the Bessel function 𝐽_{𝜈}(𝑥)
  • Bessel Functions: Monotonicity and Bounds







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