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Inverse problem of determining the right-hand side in a degenerating parabolic equation with unbounded coefficients

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Abstract

Uniqueness and existence theorems for the solution of the inverse problem for a degenerating parabolic equation with unbounded coefficients on a plane in conditions of integral observations are proven. Estimates of the solution with constants explicitly expresses via the input data of the problem are obtained.

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Correspondence to V. L. Kamynin.

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Original Russian Text © V.L. Kamynin, 2017, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2017, Vol. 57, No. 5, pp. 832–841.

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Kamynin, V.L. Inverse problem of determining the right-hand side in a degenerating parabolic equation with unbounded coefficients. Comput. Math. and Math. Phys. 57, 833–842 (2017). https://doi.org/10.1134/S0965542517050049

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  • DOI: https://doi.org/10.1134/S0965542517050049

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