Geodesic
An optimal control problem for a pseudoparabolic variational inequality
Applications of Mathematics, Tome 37 (1992) no. 1, pp. 62-80.

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We deal with an optimal control problem governed by a pseudoparabolic variational inequality with controls in coefficients and in convex sets of admissible states. The existence theorem for an optimal control parameter will be proved. We apply the theory to the original design problem for a deffection of a viscoelastic plate with an obstacle, where the variable thickness of the plate appears as a control variable.
DOI : 10.21136/AM.1992.104492
Classification : 47H19, 49A29, 49A34, 49J40, 73F15, 73K10, 73V25, 73k40, 74Hxx
Keywords: optimal control; pseudoparabolic variational inequality; convex set; penalization; viscoelastic plate; thickness; obstacle; elliptic operators 
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     title = {An optimal control problem for a pseudoparabolic variational inequality},
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Bock, Igor; Lovíšek, Ján. An optimal control problem for a pseudoparabolic variational inequality. Applications of Mathematics, Tome 37 (1992) no. 1, pp. 62-80. doi : 10.21136/AM.1992.104492. http://geodesic.mathdoc.fr/articles/10.21136/AM.1992.104492/

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