Nonlinear variational inequalities of semilinear parabolic type

2001 ◽  
Vol 2001 (2) ◽  
pp. 896837 ◽  
Author(s):  
Jin-Mun Jeong ◽  
Jong-Yeoul Park
2002 ◽  
Vol 6 (3) ◽  
pp. 287-322 ◽  
Author(s):  
Matthew Rudd ◽  
Klaus Schmitt

2011 ◽  
Vol 15 (2) ◽  
pp. 857-873
Author(s):  
Jin-Mun Jeong ◽  
Eun Young Ju ◽  
Kyeong Yeon Lee

2013 ◽  
Vol 2013 ◽  
pp. 1-10
Author(s):  
Eun-Young Ju ◽  
Jin-Mun Jeong

We deal with optimal control problems governed by semilinear parabolic type equations and in particular described by variational inequalities. We will also characterize the optimal controls by giving necessary conditions for optimality by proving the Gâteaux differentiability of solution mapping on control variables.


2016 ◽  
Vol 77 (3) ◽  
pp. 541-566
Author(s):  
Tomasz Klimsiak ◽  
Andrzej Rozkosz ◽  
Leszek Słomiński

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