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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 18 > No. 05

 
   

Second order sufficient optimality conditions for some state-constrained control problems of semilinear elliptic equations of infinite order

PP: 1075-1080
doi:10.18576/amis/180513
Author(s)
S. A. El-Zahaby, Samira El-Tamimy,
Abstract
In this paper, a semilinear elliptic optimal control problem of infinite order with pointwise state constraints is studied. The existence of regular Lagrange multipliers is obtained, we derive first-order necessary optimality conditions for elliptic control problem with pointwise state constraint generated by elliptic operator of an infinite order with finite dimension . Second order sufficient optimality conditions are established.

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