Year: 2025
Type: preprint
Abstract: In this article, the authors survey and review the studies of boundary value problems for regular functions in Clifford analysis, which include theoretical foundations and useful methods. Its theoretical bases consist of the generalized Cauchy theorem, the generalized Cauchy integral formula, the Painlevé theorem and boundary behaviors of the Cauchy type integrals, as well as various integral representations. Certain boundary value problems in the Clifford algebra setting and singular integral equations are introduced.
Source: arXiv (Cornell University)
Authors: Du, J. Y., Dang, P.
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4415088614
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