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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2017 Volume 57, Number 5, Pages 832–841 (Mi zvmmf10573)

This article is cited in 18 papers

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

V. L. Kamynin

National Research Nuclear University MEPhI, Moscow, Russia

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.

Key words: inverse problems, condition of integral observation, degenerating parabolic equations, unbounded coefficients of equation.

UDC: 519.633

Received: 03.02.2016

DOI: 10.7868/S0044466917050040


 English version:
Computational Mathematics and Mathematical Physics, 2017, 57:5, 833–842

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