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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 1993 Volume 34, Number 1, Pages 204–211 (Mi smj1709)

This article is cited in 1 paper

Optimal control problem for the backward heat equation

O. Yu. Imanuvilov


Abstract: The optimal control problem for the system specified by the Cauchy problem for the backward heat equation is studied. The existence theorem is proved and necessary and sufficient conditions for extremum are established.

UDC: 517.977

Received: 19.02.1991


 English version:
Siberian Mathematical Journal, 1993, 34:1, 181–188

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© Steklov Math. Inst. of RAS, 2026