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On the solvability of the inverse problem for determining the right-hand side of a degenerate parabolic equation with integral observation

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Abstract

Existence and uniqueness theorems and theorems on stability under perturbations of the input data for solutions of the inverse problem for a degenerate parabolic equation in the plane with integral observation are obtained. The cases of bounded and unbounded coefficients are studied. Estimates of the solution with constants explicitly written out in terms of the input data of the problem are obtained.

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Authors and Affiliations

  1. National Research Nuclear University “MIFI,”, Moscow, Russia

    V. L. Kamynin

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  1. V. L. Kamynin
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Correspondence to V. L. Kamynin.

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Original Russian Text © V. L. Kamynin, 2015, published in Matematicheskie Zametki, 2015, Vol. 98, No. 5, pp. 710–724.

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Kamynin, V.L. On the solvability of the inverse problem for determining the right-hand side of a degenerate parabolic equation with integral observation. Math Notes 98, 765–777 (2015). https://doi.org/10.1134/S0001434615110061

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  • DOI: https://doi.org/10.1134/S0001434615110061

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