scholarly journals A convex analysis approach to optimal controls with switching structure for partial differential equations

2016 ◽  
Vol 22 (2) ◽  
pp. 581-609 ◽  
Author(s):  
Christian Clason ◽  
Kazufumi Ito ◽  
Karl Kunisch
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Convex Analysis ◽  
Analysis Approach ◽  
Optimal Controls ◽  
Partial Differential ◽  
Switching Structure

scholarly journals Existence theorems for optimal control of quasilinear parabolic partial differential equations

1979 ◽  
Vol 21 (1) ◽  
pp. 90-101 ◽  
Author(s):  
S. Nababan ◽  
E. S. Noussair
Keyword(s):  
Optimal Control ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Existence Theorems ◽  
Parabolic Partial Differential Equations ◽  
Optimal Controls ◽  
Integral Functionals ◽  
Partial Differential ◽  
Lower Semi ◽  
Quasilinear Parabolic

AbstractThe question on existence of optimal controls for a system governed by quasilinear parabolic partial differential equations which is linear in the control variables is considered. It is shown that whenever the controls converge in the weak * topology of L∞, the corresponding solutions converge uniformly. Using this result and results on lower semi-continuity of integral functionals, existence theorems for optimal controls are proved.

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