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Well-posed problems for the Laplace operator in a punctured disk

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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 wellposed problems for the Laplace operator in the disk.

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Author information

Authors and Affiliations

  1. Kazakh National University, Almaty, Kazakhstan

    B. E. Kanguzhin

  2. Semipalatinsk State Pedagogical Institute, Semei, Kazakhstan

    A. A. Aniyarov

Authors
  1. B. E. Kanguzhin
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  2. A. A. Aniyarov
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Corresponding author

Correspondence to B. E. Kanguzhin.

Additional information

Original Russian Text © B. E. Kanguzhin, A. A. Aniyarov, 2011, published in Matematicheskie Zametki, 2011, Vol. 89, No. 6, pp. 856–867.

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Kanguzhin, B.E., Aniyarov, A.A. Well-posed problems for the Laplace operator in a punctured disk. Math Notes 89, 819–829 (2011). https://doi.org/10.1134/S0001434611050233

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  • DOI: https://doi.org/10.1134/S0001434611050233

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