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

Zh. Vychisl. Mat. Mat. Fiz., 2014 Volume 54, Number 5, Pages 779–792 (Mi zvmmf10032)

This article is cited in 18 papers

Counterexamples in inverse problems for parabolic, elliptic, and hyperbolic equations

A. B. Kostin

National Research Nuclear University “MEPhI”, Kashirskoe sh. 31, Moscow, 115409, Russia

Abstract: Examples of inverse problems of source reconstruction with nonunique solutions are constructed. Problems for parabolic, elliptic, and hyperbolic equations are considered. Additional data (overdetermination) is specified as a final observation condition.

Key words: counterexamples, inverse problems, final observation, parabolic, elliptic, and hyperbolic equations.

UDC: 519.632.8

Received: 14.07.2013

DOI: 10.7868/S0044466914020100


 English version:
Computational Mathematics and Mathematical Physics, 2014, 54:5, 779–792

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