An optimal control problem for an elliptic variational inequality
Igor Bock, Ján Lovíšek (1983)
Mathematica Slovaca
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Igor Bock, Ján Lovíšek (1983)
Mathematica Slovaca
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Igor Bock, Ján Lovíšek (1989)
Commentationes Mathematicae Universitatis Carolinae
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Lovíšek, J. (1994)
Acta Mathematica Universitatis Comenianae. New Series
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Ján Lovíšek (1989)
Aplikace matematiky
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The aim of the present paper is to study problems of optimal design in mechanics, whose variational form are inequalities expressing the principle of virtual power in its inequality form. We consider an optimal control problem in whixh the state of the system (involving an elliptic, linear symmetric operator, the coefficients of which are chosen as the design - control variables) is defined as the (unique) solution of stationary variational inequalities. The existence result proved in...
Igor Bock (1995)
Applications of Mathematics
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We deal with an optimal control problem with respect to a variable thickness for a dynamic viscoelastic plate with velocity constraints. The state problem has the form of a pseudohyperbolic variational inequality. The existence and uniqueness theorem for the state problem and the existence of an optimal thickness function are proved.