Geodesic
Optimal control of variational inequality with applications to axisymmetric shells
Applications of Mathematics, Tome 32 (1987) no. 6, pp. 459-479

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The optimal control problem of variational inequality with applications to axisymmetric shells is discussed. First an existence result for the solution of the optimal control problem is given. Next is presented the formulation of first order necessary conditionas of optimality for the control problem governed by a variational inequality with its coefficients as control variables.
DOI : 10.21136/AM.1987.104277
Classification : 49A27, 49A29, 58E25, 58E35, 58E99, 74K15, 74P99
Keywords: second invariant of the stress deviator; smooth regularized control problems; optimal shape design; axisymmetric shells; elliptic, linear symmetric operator; first order necessary conditions of optimality; nonsmooth; nonconvex infinite dimensional opimization problem 
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     author = {Lov{\'\i}\v{s}ek, J\'an},
     title = {Optimal control of variational inequality with applications to axisymmetric shells},
     journal = {Applications of Mathematics},
     pages = {459--479},
     publisher = {mathdoc},
     volume = {32},
     number = {6},
     year = {1987},
     doi = {10.21136/AM.1987.104277},
     mrnumber = {0916062},
     zbl = {0647.73042},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1987.104277/}
}
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Lovíšek, Ján. Optimal control of variational inequality with applications to axisymmetric shells. Applications of Mathematics, Tome 32 (1987) no. 6, pp. 459-479. doi: 10.21136/AM.1987.104277

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