Optimal control for systems governed by parabolic equations without initial conditions with controls in the coefficients
Texas State University, Department of Mathematics
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.
Optimal control, Problems without initial conditions, Evolution equation
Bokalo, M., & Tsebenko, A. (2017). Optimal control for systems governed by parabolic equations without initial conditions with controls in the coefficients. <i>Electronic Journal of Differential Equations, 2017</i>(72), pp. 1-22.