Green function of the inhomogeneous Helmholtz equation with nonuniform refraction index, using quaternion analysis

DOI10.1063/1.3524507zbMath1314.35068OpenAlexW2051898227MaRDI QIDQ5255518

S. M. Saberi Fathi

Publication date: 15 June 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/c7c427e5766063d1228ad3714f2ed55dba98ce57

Mathematics Subject Classification ID

Wave equation (35L05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Time-dependent Schrödinger equations and Dirac equations (35Q41) Green's functions for elliptic equations (35J08)

Related Items

Some estimates for the Cauchy transform in higher dimensions

Cites Work

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• Construction of approximations to acoustic Green's functions for nonhomogeneous oceans using transmutation
• Quaternionic analysis and elliptic boundary value problems
• Harmonic Function Theory
• Optical Conformal Mapping
• The \mathbb {R}^{3} exponential x-ray transform inversion in quaternion analysis
• A quaternionic approach to x-ray transform inversion in \sbb{R}^3
• A function theory for the operator D-λ
• Quaternionic analysis
• On the treatment of non-linear boundary value problems of a disturbed dirac equation by hypercomplex methods
• ELASTIC WAVES IN A NONHOMOGENEOUS MEDIUM-A HIGH-FREQUENCY APPROXIMATION INVOLVING TURNING POINTS
• Inversion formula for the non-uniformly attenuated x-ray transform for emission imaging in \mathbb {R}^{3} using quaternionic analysis

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