Asymptotic behavior of the solutions of the Helmholtz equation in the caustic shadow domain. I

DOI10.1007/BF02107414zbMath0566.35030OpenAlexW1979225718MaRDI QIDQ1059213

Z. A. Yanson

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf02107414

zbMATH Keywords

uniform asymptoticsgeometrical opticsreduced wave equationcaustic shadow

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (1)

Toward a high-frequency asymptotic limit of the solutions of the Helmholtz equation in the region of a caustic shadow. II

Cites Work

• Uniform asymptotic expansions at a caustic
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