Diffraction by a convex obstacle

DOI10.1007/BF01231531zbMath0831.35121OpenAlexW2060119145MaRDI QIDQ1340653

T. Hargé, Gilles Lebeau

Publication date: 29 January 1995

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144234

zbMATH Keywords

decay rate in the shadow areadiffraction of waves by an obstacleobstacle with \(C^ \infty\) boundary

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Scattering theory for PDEs (35P25) Diffraction, scattering (78A45)

Related Items

A hybrid numerical-asymptotic boundary integral method for high-frequency acoustic scattering, The complex scaling method for scattering by strictly convex obstacles, Distribution of resonances for the Neumann problem in linear elasticity outside a strictly convex body, FBI transforms in Gevrey classes, The kernel of the neumann operator for a strictly diffractive analytic problem, Mathematical study of scattering resonances, Resonance-free region in scattering by a strictly convex obstacle, On the multilevel internal structure of the asymptotic distribution of resonances, Asymptotic distribution of resonances for convex obstacles, Scattering resonances of convex obstacles for general boundary conditions

Cites Work

• Scattering frequencies and Gevrey 3 singularities
• Rigorous justification of the asymptotic solutions of sliding wave type
• Embedding theorems and intermediate Calderon spaces
• Estimates on the number of scattering poles near the real axis for strictly convex obstacles
• Short-Time Asymptotics of the Heat Kernel on a Concave Bboundary
• Regularite gevrey 3 pour la diffraction
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