Electron. J. Differential Equations, Vol. 2017 (2017), No. 72, pp. 1-22.

Optimal control for systems governed by parabolic equations without initial conditions with controls in the coefficients

Mykola Bokalo, Andrii Tsebenko

Abstract:
We consider an optimal control problem for systems described by a Fourier problem for parabolic equations. We prove the existence of solutions, and obtain necessary conditions of the optimal control in the case of final observation when the control functions occur in the coefficients.

Submitted December 7, 2016. Published March 14, 2017.
Math Subject Classifications: 35K10, 49J20, 58D25.
Key Words: Optimal control; problems without initial conditions; evolution equation.

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Mykola Bokalo
Department of Differential Equations
Ivan Franko National University of Lviv
Lviv, Ukraine
email: mm.bokalo@gmail.com
Andrii Tsebenko
Department of Differential Equations
Ivan Franko National University of Lviv
Lviv, Ukraine
email: amtseb@gmail.com

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