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Rigorous justification of the Friedlander-Keller formulas

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Publication:1070454
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DOI10.1007/BF01084150zbMath0584.35089MaRDI QIDQ1070454

A. B. Zayaev, V. B. Philippov

Publication date: 1986

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


zbMATH Keywords

Dirichlet problemdiffractionGreen functionshort-wave asymptoticsFriedlander-Keller formulas


Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Diffraction, scattering (78A45) Partial differential equations of mathematical physics and other areas of application (35Q99)


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A rigorous proof of the asymptotic expansion of Green's function in the shadow zone for diffraction on a convex body ⋮ A hybrid numerical-asymptotic boundary integral method for high-frequency acoustic scattering



Cites Work

  • Rigorous justification of the asymptotic solutions of sliding wave type
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