Dirichlet problem for inhomogeneous biharmonic equation in Clifford analysis

DOI10.1007/978-3-030-87502-2_3MaRDI QIDQ6196654

A. Okay Çelebi, Ümit Aksoy

Publication date: 15 March 2024

Published in: Trends in Mathematics (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemintegral representationsClifford analysis

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

Cites Work

• Iterated integral operators in Clifford analysis
• On Cauchy-Pompeiu formula for functions with values in a universal Clifford algebra.
• Quaternionic analysis and elliptic boundary value problems
• Dirichlet problem for Poisson and bi-Poisson equations in Clifford analysis
• Orthogonal decompositions of Sobolev spaces in Clifford analysis
• Differential operators, their fundamental solutions and related integral representations in Clifford analysis
• Integral Representations in Complex, Hypercomplex and Clifford Analysis
• Cauchy-Green Type Formulae in Clifford Analysis
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