This analysis develops a method for simplifying biharmonic problems in specified domains, indicating effective boundary value solutions.
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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Gryshchuk et al. (2025) studied this question.
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