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A hypercomplex method for solving piecewise continuous biharmonic problem in domains with corner points

Complex Variables 2025-04-25 v1

Abstract

A piecewise continuous biharmonic problem in domains with corner points and a corresponding Schwarz type boundary value problem for monogenic functions in a commutative biharmonic algebra are considered. A method for reducing the problems to a system of integral equations is developed.

Keywords

Cite

@article{arxiv.2504.17351,
  title  = {A hypercomplex method for solving piecewise continuous biharmonic problem in domains with corner points},
  author = {S. V. Gryshchuk and S. A. Plaksa},
  journal= {arXiv preprint arXiv:2504.17351},
  year   = {2025}
}

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in Ukrainian language

R2 v1 2026-06-28T23:09:34.071Z