Some properties of the Clifford Cauchy type integrals associated to Helmholtz equation on a piecewise Lyapunov surfaces in \(\mathbb R^m\)

DOI10.1016/j.amc.2011.09.057zbMath1264.30040OpenAlexW2080213321MaRDI QIDQ426967

Baruch Schneider

Publication date: 13 June 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.09.057

zbMATH Keywords

Clifford analysisCauchy type integrals

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (3)

Some properties and applications of the Teodorescu operator associated to the Helmholtz equation ⋮ Poincaré-Bertrand and Hilbert formulas for the Cauchy-Cimmino singular integrals ⋮ Some notes on the Poincaré-Bertrand formula

Cites Work

• Poincaré-Bertrand formula on a piecewise Liapunov curve in two-dimensional
• Generalized Poincaré-Bertrand formula on a hypersurface
• The singular integral equation on a closed piecewise smooth manifold in \(\mathbb{C}^n\)
• Some properties of the Cauchy-type integral for the time harmonic Maxwell equations
• Boundary value problems and Hardy spaces associated to the Helmholtz equation in Lipschitz domains
• The Poincaré-Bertrand formula for the Bochner-Martinelli integral
• On the Laplacian vector fields theory in domains with rectifiable boundary
• Operator algebras related to the Bochner–Martinelli integral
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