Rigorous justification of the asymptotic solutions of ''sliding wave'' type
type: Item
instance of: scholarly article
title: Rigorous justification of the asymptotic solutions of ''sliding wave'' type
zbMATH Open document ID: 0567.73036
DOI: 10.1007/BF02107400
author: A. B. Zayaev
author: V. B. Philippov
published in: Journal of Soviet Mathematics
publication date: 1985-01-01T00:00:00Z
review text: In the paper we give a rigorous justification of the asymptotic expansion of Green's function for the diffraction problem on a smooth convex contour \(\Gamma\) in the shadow zone. We assume that one of the source and observation points is on the boundary \(\Gamma\) and the other one outside \(\Gamma\). We consider the case of the Dirichlet problem.
Mathematics Subject Classification ID: 74J20
Mathematics Subject Classification ID: 45B05
zbMATH DE Number: 3905947
zbMATH Keywords: condition of finite smoothness
zbMATH Keywords: asymptotic estimate for Green function
zbMATH Keywords: asymptotic expansion of Green's function
zbMATH Keywords: smooth convex contour
zbMATH Keywords: shadow zone
zbMATH Keywords: Dirichlet problem
MaRDI profile type: Publication
cites work: Rigorous justification of the shortwave asymptotic theory of diffraction in the shadow zone
full work available at URL: https://doi.org/10.1007/bf02107400
OpenAlex ID: W2033651447
description: scientific article; zbMATH DE number 3905947