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.
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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     author = {Bock, Igor},
     title = {Optimal design problems for a dynamic viscoelastic plate. {I.} {Short} memory material},
     journal = {Applications of Mathematics},
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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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