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

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.

Bibliographic Details
Main Authors: Mykola Bokalo, Andrii Tsebenko
Format: Article
Language:English
Published: Texas State University 2017-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2017/72/abstr.html