On the scattering length spectrum for real analytic obstacles

DOI10.1006/jfan.2000.3645zbMath0972.35189OpenAlexW1989760504MaRDI QIDQ1593741

Latchezar Stoyanov

Publication date: 25 January 2001

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

Full work available at URL: https://semanticscholar.org/paper/b45cffbb359dd5a3a26f6303e27204b00018472f

zbMATH Keywords

uniquenessinverse obstacle scatteringscattering length spectrum

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Boundary value problems on manifolds (58J32)

Related Items (7)

Santalo's formula and stability of trapping sets of positive measure ⋮ Travelling times in scattering by obstacles in curved space ⋮ Lens rigidity in scattering by non-trapping obstacles ⋮ Singularities of the Scattering Kernel Related to Trapping Rays ⋮ Lens Rigidity in Scattering by Unions of Strictly Convex Bodies in R^2 ⋮ Rigidity of scattering lengths and travelling times for disjoint unions of strictly convex bodies ⋮ Travelling times in scattering by obstacles

Cites Work

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• High frequency scattering by a convex obstacle
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• Differential Topology
• Singularities of boundary value problems. I
• Exponential instability for a class of dispersing billiards
• On the scattering length spectrum
• Generalized Hamilton flow and Poisson relation for the scattering kernel

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