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JOURNALS
// Matematicheskie Zametki
// Archive
Mat. Zametki,
2011
Volume 89,
Issue 6,
Pages
856–867
(Mi mzm8767)
This article is cited in
41
papers
Well-Posed Problems for the Laplace Operator in a Punctured Disk
B. E. Kanguzhin
a
,
A. A. Anijarov
b
a
Al-Farabi Kazakh National University
b
Semipalatinsk State Pedagogical Institute
Abstract:
We give a complete description of well-posed solvable boundary-value problems for the Laplace operator in the disk and in the punctured disk. We present formulas for resolvents of well-posed problems for the Laplace operator in the disk.
Keywords:
Laplace operator, well-posed solvable boundary-value problem, punctured disk, nonhomogeneous Laplace equation, Dirichlet boundary condition, Green function, Dirac function.
UDC:
517.95
Received:
03.01.2010
Revised:
01.09.2010
DOI:
10.4213/mzm8767
Fulltext:
PDF file (463 kB)
References
Cited by
English version:
Mathematical Notes, 2011,
89
:6,
819–829
Bibliographic databases:
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Steklov Math. Inst. of RAS
, 2025