\(H_\lambda\)-regular vector functions and their boundary value problems

DOI10.1186/1687-2770-2012-75zbMath1276.30061OpenAlexW2117523034WikidataQ59289919 ScholiaQ59289919MaRDI QIDQ377687

Dan Li, Piwen Yang

Publication date: 7 November 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2012-75

zbMATH Keywords

\(H_\lambda\)-regular vector functionmodified Helmholtz equationquaternion calculusRiemann-Hilbert type boundary value problem

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (2)

Some properties of a kind of generalized Teodorescu operator in Clifford analysis ⋮ The mixed boundary value problem for the inhomogeneous Cimmino system

Cites Work

• An initial-boundary value problem for the Maxwell equations
• Helmholtz operator with a quaternionic wave number and associated function theory. II: Integral representations
• A function theory for the operator D-λ
• Integral representations in quaternionic analysis related to the helmholtz operator

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