Singularities of the Scattering Kernel Related to Trapping Rays
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Publication:3583921
DOI10.1007/978-0-8176-4861-9_14zbMath1197.35183arXiv0906.2465OpenAlexW2964313459MaRDI QIDQ3583921
Vesselin Petkov, Latchezar Stoyanov
Publication date: 18 August 2010
Published in: Advances in Phase Space Analysis of Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0906.2465
Scattering theory for PDEs (35P25) Wave equation (35L05) Scattering theory of linear operators (47A40)
Related Items (3)
Semiclassical estimates of the cut-off resolvent for trapping perturbations ⋮ Propagation through trapped sets and semiclassical resolvent estimates ⋮ Estimates of holomorphic functions in zero-free domains
Cites Work
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- An inverse spectral result for elliptical regions of \(\mathbb{R}^2\)
- Sojourn times and asymptotic properties of the scattering matrix
- On the scattering length spectrum for real analytic obstacles
- Rigidity of the scattering length spectrum
- Resolvent estimates and local energy decay for hyperbolic equations
- Lower bounds for shape resonances widths of long range Schrodinger operators
- High frequency asymptotics of the scattering amplitude for non-convex bodies
- High frequency asymptotics for the scattering matrix and the inverse problem of acoustical scattering
- Grazing rays and reflection of singularities of solutions to wave equations
- A representation formula for the scattering operator and the inverse problem for arbitrary bodies
- Singularities of boundary value problems. I
- Singularities of the scattering kernel for trapping obstacles
- Generalized Hamilton flow and Poisson relation for the scattering kernel
- Semi-classical estimates on the scattering determinant
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