Biharmonic Problem for an Angle and Monogenic Functions

We consider a piecewise continuous biharmonic problem in an angle and the corresponding Schwartz-type boundary-value problem for monogenic functions in a commutative biharmonic algebra. These problems are reduced to a system of integral equations on the positive semiaxis. It is shown that, on each s...

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Bibliographic Details
Published inUkrainian mathematical journal Vol. 74; no. 11; pp. 1686 - 1700
Main Authors Gryshchuk, S. V., Plaksa, S. A.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.04.2023
Springer
Springer Nature B.V
Subjects
Algebra
Analysis
Applications of Mathematics
Boundary value problems
Fredholm equations
Geometry
Integral equations
Mathematical analysis
Mathematics
Mathematics and Statistics
Statistics
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Summary:We consider a piecewise continuous biharmonic problem in an angle and the corresponding Schwartz-type boundary-value problem for monogenic functions in a commutative biharmonic algebra. These problems are reduced to a system of integral equations on the positive semiaxis. It is shown that, on each segment of this semiaxis, the set of solutions of this system coincides with the set of solutions of a certain system of Fredholm integral equations.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-023-02164-z