B. E. Kanguzhin, A. A. Anijarov, “Well-Posed Problems for the Laplace Operator in a Punctured Disk”, Mat. Zametki, 2011, Volume 89, Issue 6,Pages <nobr>856

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