Geodesic
Optimal control problems for variational inequalities with controls in coefficients and in unilateral constraints
Applications of Mathematics, Tome 32 (1987) no. 4, pp. 301-314

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We deal with an optimal control problem for variational inequalities, where the monotone operators as well as the convex sets of possible states depend on the control parameter. The existence theorem for the optimal control will be applied to the optimal design problems for an elasto-plastic beam and an elastic plate, where a variable thickness appears as a control variable.
DOI : 10.21136/AM.1987.104261
Classification : 49A27, 49A29, 49A34, 49J27, 49J40, 49J99, 73k40, 74K10, 74K20, 74S30
Keywords: optimal control; variational inequalities; optimal design; elasto-plastic beam; elastic plate; obstacle; convex set; thickness-function 
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     author = {Bock, Igor and Lov{\'\i}\v{s}ek, J\'an},
     title = {Optimal control problems for variational inequalities with controls in coefficients and in unilateral constraints},
     journal = {Applications of Mathematics},
     pages = {301--314},
     publisher = {mathdoc},
     volume = {32},
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     year = {1987},
     doi = {10.21136/AM.1987.104261},
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     zbl = {0638.49003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1987.104261/}
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Bock, Igor; Lovíšek, Ján. Optimal control problems for variational inequalities with controls in coefficients and in unilateral constraints. Applications of Mathematics, Tome 32 (1987) no. 4, pp. 301-314. doi: 10.21136/AM.1987.104261

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