scholarly journals Optimal Control of Semilinear Parabolic Equations by BV-Functions

2017 ◽  
Vol 55 (3) ◽  
pp. 1752-1788 ◽  
Author(s):  
Eduardo Casas ◽  
Florian Kruse ◽  
Karl Kunisch
Keyword(s):  
Optimal Control ◽  
Parabolic Equations ◽  
Semilinear Parabolic Equations ◽  
Bv Functions ◽  
Semilinear Parabolic

scholarly journals Existence of the Optimal Control for Stochastic Boundary Control Problems Governed by Semilinear Parabolic Equations

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Weifeng Wang ◽  
Baobin Wang
Keyword(s):  
Boundary Condition ◽  
Optimal Control ◽  
Parabolic Equations ◽  
Control Variable ◽  
Control Problems ◽  
Semilinear Parabolic Equation ◽  
Semilinear Parabolic Equations ◽  
Boundary Control Problems ◽  
Semilinear Parabolic ◽  
Stochastic Boundary

We study an optimal control problem governed by a semilinear parabolic equation, whose control variable is contained only in the boundary condition. An existence theorem for the optimal control is obtained.

ON APPROXIMATE OPTIMAL CONTROL FOR THE REACTION-DIFFUSION PROCESS IN MICROINHOMOGENEOUS MEDIUM

2021 ◽  
Vol 1 ◽  
pp. 22-29
Author(s):  
Natalia V. Gorban ◽  
◽  
Alexey V. Kapustyan ◽  
Elena A. Kapustyan ◽  
Alexander B. Kurilko ◽  
...  
Keyword(s):  
Optimal Control ◽  
Diffusion Process ◽  
Parabolic Equations ◽  
Reaction Diffusion ◽  
Semilinear Parabolic Equations ◽  
Diffusion Type ◽  
Controlled Processes ◽  
Microinhomogeneous Medium ◽  
Semilinear Parabolic ◽  
Approximate Control

The problem of constructing an approximate optimal control for controlled processes of chemical kinetics in microinhomogeneous medium is considered. Such processes are described by semilinear parabolic equations of the reaction-diffusion type with coefficients of the form . The preference of an approximate control as the optimal control in the problem with averaged coefficients is justified. An example of the construction of such a control is discussed and its efficiency is demonstrated.

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