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

S. V. Gryshchuk; S. A. Plaksa

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arXiv · 2504.17351

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

S. V. Gryshchuk·S. A. Plaksa

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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.

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S. V. Gryshchuk, S. A. Plaksa. 2025-04-24. A hypercomplex method for solving piecewise continuous biharmonic problem in domains with corner points. https://arxiv.org/abs/2504.17351

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