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Matematicheskie Zametki, 2011, Volume 89, Issue 6, Pages 856–867
DOI: https://doi.org/10.4213/mzm8767 (Mi mzm8767) 		 
This article is cited in 39 scientific papers (total in 39 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
Full-text PDF (463 kB) Citations (39)
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DOI: https://doi.org/10.4213/mzm8767
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.
Received: 03.01.2010
Revised: 01.09.2010
English version:
Mathematical Notes, 2011, Volume 89, Issue 6, Pages 819–829
DOI: https://doi.org/10.1134/S0001434611050233
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: B. E. Kanguzhin, A. A. Anijarov, “Well-Posed Problems for the Laplace Operator in a Punctured Disk”, Mat. Zametki, 89:6 (2011), 856–867; Math. Notes, 89:6 (2011), 819–829
Citation in format AMSBIB
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\pages 856--867
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\crossref{https://doi.org/10.4213/mzm8767}
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\jour Math. Notes
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    • This publication is cited in the following 39 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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