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Integral Representations for Second-Order Elliptic Systems in the Plane.

Authors :
Soldatov, A. P.
Source :
Computational Mathematics & Mathematical Physics. Jan2024, Vol. 64 Issue 1, p118-137. 20p.
Publication Year :
2024

Abstract

A fundamental solution matrix for elliptic systems of the second order with constant leading coefficients is constructed. It is used to obtain an integral representation of functions belonging to the Hölder class in a closed domain with a Lyapunov boundary. In the case of an infinite domain, these functions have power-law asymptotics at infinity. The representation is used to study a mixed-contact boundary value problem for a second-order elliptic system with piecewise constant leading coefficients. The problem is reduced to a system of integral equations that are Fredholm in the domain and singular at its boundary. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
09655425
Volume :
64
Issue :
1
Database :
Academic Search Index
Journal :
Computational Mathematics & Mathematical Physics
Publication Type :
Academic Journal
Accession number :
176179919
Full Text :
https://doi.org/10.1134/S0965542524010147