Some Riemann boundary value problems in Clifford analysis (I)

DOI10.1080/17476933.2011.613119zbMath1280.30023OpenAlexW2044852039MaRDI QIDQ2851217

Zhong Xiang Zhang, Klaus Gürlebeck

Publication date: 10 October 2013

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2011.613119

zbMATH Keywords

Riemann boundary value problemPlemelj formulabi-harmonic function

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Functions of hypercomplex variables and generalized variables (30G35)

Related Items (7)

A fourth-order elliptic Riemann type problem in \(\mathbb{R}^{3}\) ⋮ On Riemann problems for monogenic functions in lower dimensional non-commutative Clifford algebras ⋮ On a Riemann-Hilbert boundary value problem for \((\varphi,\psi)\)-harmonic functions in \(\mathbb{R}^m\) ⋮ On a Riemann-Hilbert problem for \(\Psi\)-hyperholomorphic functions in \(\mathbb{R}^m\) ⋮ A boundary value problem for bihypermonogenic functions in Clifford analysis ⋮ Riemann boundary value problem for H-2-monogenic function in Hermitian Clifford analysis ⋮ Riemann-type problem in Hermitian Clifford analysis

Cites Work

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• On \(k\)-regular functions with values in a universal Clifford algebra
• Clifford analysis over unbounded domains
• Higher-order partial differential equations in Clifford analysis. Effective solutions to problems
• Boundary value problems for quaternionic monogenic functions on non-smooth surfaces
• On regular-analytic functions with values in a Clifford-algebra
• On the singularities of functions with values in a Clifford algebra
• Generalized integral representations in Clifford analysis
• Hypercomplex Function Theory and Hilbert Modules with Reproducing Kernel
• A Cauchy's Integral Formula for Functions with Values in a Universal Clifford Algebra and its Applications
• Cauchy-Green Type Formulae in Clifford Analysis
• Some properties of operators in Clifford analysis

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