Singularities of the scattering kernel for trapping obstacles

DOI10.24033/asens.1752zbMath0887.35114OpenAlexW2240145602MaRDI QIDQ4338373

Vesselin Petkov, Latchezar Stoyanov

Publication date: 5 May 1998

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_1996_4_29_6_737_0

zbMATH Keywords

scattering by obstaclesray trapping obstaclessingularities of scattering amplitude

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Scattering theory for PDEs (35P25) Wave equation (35L05)

Related Items

Resolvent estimates and local energy decay for hyperbolic equations ⋮ Singularities of the Scattering Kernel Related to Trapping Rays

Cites Work

• On the existence of the poles of the scattering matrix for several convex bodies
• Precise informations on the poles of the scattering matrix for two strictly convex obstacles
• Sojourn times and asymptotic properties of the scattering matrix
• Sharp bounds on the number of scattering poles in even-dimensional spaces
• Singularities of the scattering kernel for convex obstacles
• Lower bounds on the number of scattering poles
• La relation de possion pour l'equation des ondes dans un ouvert non borne application a la theorie de la diffusion
• Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
• A representation formula for the scattering operator and the inverse problem for arbitrary bodies
• Singularities of boundary value problems. I
• Sharp Bounds on the Number of Scattering Poles in the Two Dimensional Case
• Lower bounds on the number of scattering poles under lines parallel to the axis
• Solutions of the wave equation with localized energy
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item