The complex scaling method for scattering by strictly convex obstacles

DOI10.1007/BF02559608zbMath0839.35095OpenAlexW2028741263MaRDI QIDQ1897587

Maciej Zworski, Johannes Sjöstrand

Publication date: 5 June 1996

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02559608

zbMATH Keywords

upper bounds for the number of scattering poles

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25)

Related Items

The FBI transform on compact 𝒞^{∞} manifolds, Distribution of resonances for the Neumann problem in linear elasticity outside a strictly convex body, Spectra and semigroup smoothing for non-elliptic quadratic operators, On the behavior of resonant frequencies in the presence of small anisotropic imperfections, FBI transforms in Gevrey classes, Lower bounds for eigenfunction restrictions in lacunary regions, A primer on eigenvalue problems of non-self-adjoint operators, Mathematical study of scattering resonances, Resonance-free region in scattering by a strictly convex obstacle, Semiclassical Hypoelliptic Estimates for Non-Selfadjoint Operators with Double Characteristics, 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, Complex Riemannian metric and absorbing boundary conditions

Cites Work

• Scattering frequencies and Gevrey 3 singularities
• Geometric bounds on the density of resonances for semiclassical problems
• Estimates on the number of scattering poles near the real axis for strictly convex obstacles
• Diffraction by a convex obstacle
• Lower bounds on the number of scattering poles
• Complex Scaling and the Distribution of Scattering Poles
• Distribution of scattering poles near the real axis
• Wave packets and fourier integral operators
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