The strict justification of the short-wave approximation in the three- dimensional case

DOI10.1007/BF01086730zbMath0391.35025OpenAlexW2091898522MaRDI QIDQ1251336

Vasilii M. Babich

Publication date: 1973

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01086730

zbMATH Keywords

Apriori EstimateDiffraction of Flat WavesExterior Three-Dimensional Neumann ProblemSecond Order Elliptic EquationShort-Wave Approximation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45)

Related Items (1)

The pattern of sound wave scattering on a convex shell

Cites Work

• Unnamed Item
• D. Ludwig's method and the boundary-layer method in the problem of diffraction by a smooth body
• Potential theory and geometrical optics
• Uniform Asymptotic Expansion of the Field Scattered by a Convex Object at High Frequencies
• An inequality for the reduced wave operator and the justification of geometrical optics

This page was built for publication: The strict justification of the short-wave approximation in the three- dimensional case