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Inverse dirichlet problem for an equation of elliptic type

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Abstract

We study the inverse problem of finding the source in an abstract second-order elliptic equation on a finite interval. The additional information given is the value of the solution at an interior point of the interval. We prove existence, uniqueness, and Fredholm property theorems for the inverse problem.

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Authors and Affiliations

  1. Moscow Institute of Physics and Technology (State University), Moscow, Russia

    D. G. Orlovskii

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  1. D. G. Orlovskii
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Original Russian Text © D.G. Orlovskii, 2008, published in Differentsial’nye Uravneniya, 2008, Vol. 44, No. 1, pp. 119–128.

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Orlovskii, D.G. Inverse dirichlet problem for an equation of elliptic type. Diff Equat 44, 124–134 (2008). https://doi.org/10.1134/S0012266108010114

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  • DOI: https://doi.org/10.1134/S0012266108010114

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