Geodesic
OPTIMAL CONTROL OF A VARIATIONAL INEQUALITY WITH POSSIBLY NONSYMMETRIC LINEAR OPERATOR. APPLICATION TO THE OBSTACLE PROBLEMS IN MATHEMATICAL PHYSICS.
Acta mathematica Universitatis Comenianae, Tome 63 (1994) no. 1 
J. Lovisek. OPTIMAL CONTROL OF A VARIATIONAL INEQUALITY WITH POSSIBLY NONSYMMETRIC LINEAR OPERATOR. APPLICATION TO THE OBSTACLE PROBLEMS IN MATHEMATICAL PHYSICS.. Acta mathematica Universitatis Comenianae, Tome 63 (1994) no. 1. http://geodesic.mathdoc.fr/item/AMUC_1994_63_1_a0/
@article{AMUC_1994_63_1_a0,
     author = {J. Lovisek},
     title = {OPTIMAL {CONTROL} {OF} {A} {VARIATIONAL} {INEQUALITY} {WITH} {POSSIBLY} {NONSYMMETRIC} {LINEAR} {OPERATOR.} {APPLICATION} {TO} {THE} {OBSTACLE} {PROBLEMS} {IN} {MATHEMATICAL} {PHYSICS.}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {1994},
     volume = {63},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_1994_63_1_a0/}
}
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This paper is concerned with an optimal control problem for variational inequalities, where the linear not necessary symmetric operators as well as the convex sets of possible states depend on the control parameter. Existence of an optimal control problem is proven on the abstract level. An abstract framework for the theoretical study of obstacle problems in mathematical physics in the variational inequality context is presented. Moreover, some sufficient conditions for the existence of an optimal control are given.