Geodesic
Optimal design problems for a dynamic viscoelastic plate. I. Short memory material
Applications of Mathematics, Tome 40 (1995) no. 4, pp. 285-304
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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.
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.
DOI : 10.21136/AM.1995.134295
Classification : 35L85, 49J20, 49J40, 73F15, 74Hxx
Keywords: optimal control; viscoelastic plate; variable thickness; pseudohyperbolic variational inequality; penalization 
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Bock, Igor. Optimal design problems for a dynamic viscoelastic plate. I. Short memory material. Applications of Mathematics, Tome 40 (1995) no. 4, pp. 285-304. doi: 10.21136/AM.1995.134295

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