High frequency asymptotics of the scattering amplitude for non-convex bodies

DOI10.1080/03605308008820141zbMath0435.35065OpenAlexW2008406373MaRDI QIDQ3874632

Vesselin Petkov

Publication date: 1980

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308008820141

zbMATH Keywords

wave equationsingularitiesmixed problemFourier integral operatorglobal parametrixLagrange spacesscattering waveasymptotics of the scattering amplitudeMaslov factors

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Diffraction, scattering (78A45) Pseudodifferential and Fourier integral operators on manifolds (58J40) Scattering theory of linear operators (47A40)

Related Items

Scattering amplitude and algorithm for solving the inverse scattering problem for a class of non-convex obstacles, Singularities of the Scattering Kernel and Scattering Invariants for Several Strictly Convex Obstacles, Spectrum of the Poincaré map for periodic reflecting rays in generic domains, Unnamed Item, Singularities of the scattering kernel for two convex obstacles, Mathematical foundations of the singularity and eigenmode expansion methods (SEM and EEM), On the number of periodic reflecting rays in generic domains, Singularities of the Scattering Kernel Related to Trapping Rays, Generalized Hamilton flow and Poisson relation for the scattering kernel, Travelling times in scattering by obstacles

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