Resonant rigidity of \(S^2\)

DOI10.1006/JFAN.1999.3487zbMath0954.35125OpenAlexW2079005343MaRDI QIDQ1969456

Maciej Zworski, Andrew Hassell

Publication date: 1999

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1999.3487

zbMATH Keywords

resolventresonancesDirichlet-Laplacian

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Spectrum, resolvent (47A10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Resonance in context of PDEs (35B34)

Related Items (2)

Compactness of iso-resonant potentials for Schrödinger operators in dimensions one and three ⋮ Heat invariants of the Steklov problem

Cites Work

• Asymptotics of a spectral problem connected with the Laplace-Beltrami operator on a manifold with boundary
• Polynomial bound on the number of scattering poles
• The Poisson summation formula for manifolds with boundary
• Lower bounds on the number of scattering poles. II
• The asymptotic solution of linear differential equations of the second order for large values of a parameter
• La relation de possion pour l'equation des ondes dans un ouvert non borne application a la theorie de la diffusion
• Weyl asymptotics for the phase in obstacle scattering
• Existence of resonances in potential scattering
• The Asymptotics of The Laplacian on a Manifold with Boundary
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