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Construction of a Carleman Function Based on the Tikhonov Regularization Method in an Ill-Posed Problem for the Laplace Equation

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Abstract

Based on the Tikhonov regularization method, we explicitly construct a Carleman function in an ill-posed mixed problem for the Laplace equation.

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Authors and Affiliations

  1. Peoples’ Friendship University of Russia, Moscow, 117198, Russia

    E. B. Laneev

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  1. E. B. Laneev
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Correspondence to E. B. Laneev.

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Original Russian Text © E.B. Laneev, 2018, published in Differentsial’nye Uravneniya, 2018, Vol. 54, No. 4, pp. 483–491.

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Laneev, E.B. Construction of a Carleman Function Based on the Tikhonov Regularization Method in an Ill-Posed Problem for the Laplace Equation. Diff Equat 54, 476–485 (2018). https://doi.org/10.1134/S0012266118040055

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  • DOI: https://doi.org/10.1134/S0012266118040055

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