Time optimal control of semilinear parabolic equations via bilinear controls

2012 ◽  
Vol 61 (6) ◽  
pp. 730-737 ◽  
Author(s):  
Peidong Lei ◽  
Hongliang Zhao ◽  
Yinling Hou
Keyword(s):  
Optimal Control ◽  
Parabolic Equations ◽  
Time Optimal Control ◽  
Semilinear Parabolic Equations ◽  
Time Optimal ◽  
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.

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