Sharp polynomial bounds on the number of scattering poles for metric perturbations of the Laplacian in \(\mathbb{R}{}^ n\)

DOI10.1007/BF01445189zbMath0754.35105MaRDI QIDQ1191419

Georgi Vodev

Publication date: 27 September 1992

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164848

zbMATH Keywords

Laplace-Beltrami operator

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Schrödinger operator, Schrödinger equation (35J10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (12)

Sharp bounds on the number of scattering poles in even-dimensional spaces ⋮ Sharp upper bounds on the number of the scattering poles ⋮ Existence of resonances in three dimensions ⋮ Scattering phase asymptotics with fractal remainders ⋮ Sharp Bounds on the Number of Scattering Poles in the Two Dimensional Case ⋮ Near optimal spectral gaps for hyperbolic surfaces ⋮ Eigenvalues of the reference operator and semiclassical resonances ⋮ Sharp bounds on the number of scattering poles for perturbations of the Laplacian ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Lower bounds on the number of scattering poles ⋮ Unnamed Item

Cites Work

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• Polynomial bound on the number of scattering poles
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• Distribution of poles for scattering on the real line
• Polynomial bounds on the number of scattering poles for metric perturbations of the Laplacian in \(\mathbb{R}^ n, n\geq{}3\), odd
• Sharp polynomial bounds on the number of scattering poles of radial potentials
• A polynomial bound on the number of the scattering poles for a potential in even dimensional spaces IRⁿ
• 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

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