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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. Kanguzhina, A. A. Anijarovb

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


 English version:
Mathematical Notes, 2011, 89:6, 819–829

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© Steklov Math. Inst. of RAS, 2025