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On the Solution of the Dirichlet Problem for Second-Order Elliptic Systems in the Unit Disk.
- Source :
- Mathematics (2227-7390); Oct2023, Vol. 11 Issue 20, p4360, 9p
- Publication Year :
- 2023
-
Abstract
- The role played by explicit formulas for solving boundary value problems for elliptic equations and systems is well known. In this paper, explicit formulas for a general solution of the Dirichlet problem for second-order elliptic systems in the unit disk are given. In addition, an iterative method for solving this problem for systems with respect to two unknown functions is described, and an integral representation of the Poisson type is obtained by applying this method. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 11
- Issue :
- 20
- Database :
- Complementary Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 173316887
- Full Text :
- https://doi.org/10.3390/math11204360