Some properties of a Cauchy-type integral for the Moisil-Theodoresco system of partial differential equations

DOI10.1007/S11253-006-0054-0zbMath1105.35043OpenAlexW2024015338MaRDI QIDQ5487614

Baruch Schneider

Publication date: 19 September 2006

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://dspace.nbuv.gov.ua/handle/123456789/164028

zbMATH Keywords

quaternionic analysisCauchy-type integralMoisil-Theodoresco systemPlemelj-Privalov theorem

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Elliptic equations and elliptic systems (35J99) Integral equations with kernels of Cauchy type (45E05) Other generalizations of analytic functions (including abstract-valued functions) (30G30) Generalizations of potential theory (31C99)

Related Items (3)

Poincaré-Bertrand and Hilbert formulas for the Cauchy-Cimmino singular integrals ⋮ Poincaré-Bertrand formula on a piecewise Liapunov curve in two-dimensional ⋮ On one class of quaternionic mappings

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