Generalized Hamilton flow and Poisson relation for the scattering kernel

DOI10.1016/S0012-9593(00)00115-4zbMath0963.37055OpenAlexW1966306971MaRDI QIDQ4502948

Latchezar Stoyanov

Publication date: 5 July 2001

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_2000_4_33_3_361_0

zbMATH Keywords

singularitygeneralized Hamiltonian flowPoisson relationSard theorems

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Dimension theory of smooth dynamical systems (37C45) Propagation of singularities; initial value problems on manifolds (58J47)

Related Items (8)

Santalo's formula and stability of trapping sets of positive measure ⋮ Obstacles with non-trivial trapping sets in higher dimensions ⋮ 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 ⋮ On the scattering length spectrum for real analytic obstacles ⋮ 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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• Singularities of boundary value problems. II
• High frequency asymptotics of the scattering amplitude for non-convex bodies
• Grazing rays and reflection of singularities of solutions to wave equations
• Singularities of boundary value problems. I
• Decay of solutions of the wave equation outside nontrapping obstacles
• On the scattering length spectrum

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