Estimates on the number of scattering poles near the real axis for strictly convex obstacles

DOI10.5802/aif.1355zbMath0784.35073OpenAlexW2322697448MaRDI QIDQ1313321

Maciej Zworski, Johannes Sjöstrand

Publication date: 26 January 1994

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1993__43_3_769_0

zbMATH Keywords

resonanceDirichlet Laplacianscattering polescomplex scalingexterior of a strictly convex obstaclesemiclassical problem

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Boundary value problems for PDEs with pseudodifferential operators (35S15) Dilations, extensions, compressions of linear operators (47A20)

Related Items

Diffraction by a convex obstacle, The complex scaling method for scattering by strictly convex obstacles, FBI transforms in Gevrey classes, Resonance-free region in scattering by a strictly convex obstacle, On the multilevel internal structure of the asymptotic distribution of resonances, Asymptotic distribution of resonances for convex obstacles, Scattering resonances of convex obstacles for general boundary conditions

Cites Work

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• Autour de l'approximation semi-classique. (Around semiclassical approximation)
• Sharp bounds on the number of scattering poles for perturbations of the Laplacian
• The asymptotic solution of linear differential equations of the second order for large values of a parameter
• Complex Scaling and the Distribution of Scattering Poles
• Distribution of scattering poles near the real axis