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Rigidity of the scattering length spectrum

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Publication:1865616
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DOI10.1007/s00208-002-0358-9zbMath1018.37036OpenAlexW2047100365MaRDI QIDQ1865616

Latchezar Stoyanov

Publication date: 27 March 2003

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

Full work available at URL: https://doi.org/10.1007/s00208-002-0358-9


zbMATH Keywords

obstaclesnondegeneracy conditionsscattering length spectrum


Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Scattering theory for PDEs (35P25) Geodesics in global differential geometry (53C22)


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Santalo's formula and stability of trapping sets of positive measure ⋮ Obstacles with non-trivial trapping sets in higher dimensions ⋮ Exponential decay estimates for the damped defocusing Schrödinger equation in exterior domains ⋮ 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



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