An optimal control problem for a pseudoparabolic variational inequality

Igor Bock; Ján Lovíšek

Applications of Mathematics (1992)

  • Volume: 37, Issue: 1, page 62-80
  • ISSN: 0862-7940

Abstract

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We deal with an optimal control problem governed by a pseudoparabolic variational inequality with controls in coefficients and in convex sets of admissible states. The existence theorem for an optimal control parameter will be proved. We apply the theory to the original design problem for a deffection of a viscoelastic plate with an obstacle, where the variable thickness of the plate appears as a control variable.

How to cite

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Bock, Igor, and Lovíšek, Ján. "An optimal control problem for a pseudoparabolic variational inequality." Applications of Mathematics 37.1 (1992): 62-80. <http://eudml.org/doc/15701>.

@article{Bock1992,
abstract = {We deal with an optimal control problem governed by a pseudoparabolic variational inequality with controls in coefficients and in convex sets of admissible states. The existence theorem for an optimal control parameter will be proved. We apply the theory to the original design problem for a deffection of a viscoelastic plate with an obstacle, where the variable thickness of the plate appears as a control variable.},
author = {Bock, Igor, Lovíšek, Ján},
journal = {Applications of Mathematics},
keywords = {optimal control; pseudoparabolic variational inequality; convex set; penalization; viscoelastic plate; thickness; obstacle; elliptic operators; optimal control; elliptic operators; pseudoparabolic inequality; optimal design; viscoelastic plate},
language = {eng},
number = {1},
pages = {62-80},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {An optimal control problem for a pseudoparabolic variational inequality},
url = {http://eudml.org/doc/15701},
volume = {37},
year = {1992},
}

TY - JOUR
AU - Bock, Igor
AU - Lovíšek, Ján
TI - An optimal control problem for a pseudoparabolic variational inequality
JO - Applications of Mathematics
PY - 1992
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 37
IS - 1
SP - 62
EP - 80
AB - We deal with an optimal control problem governed by a pseudoparabolic variational inequality with controls in coefficients and in convex sets of admissible states. The existence theorem for an optimal control parameter will be proved. We apply the theory to the original design problem for a deffection of a viscoelastic plate with an obstacle, where the variable thickness of the plate appears as a control variable.
LA - eng
KW - optimal control; pseudoparabolic variational inequality; convex set; penalization; viscoelastic plate; thickness; obstacle; elliptic operators; optimal control; elliptic operators; pseudoparabolic inequality; optimal design; viscoelastic plate
UR - http://eudml.org/doc/15701
ER -

References

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  13. J. L. Lions, Quelques méthodes de résolution des problémes aux limites non linéaires, Dunod, Paris, 1969. (1969) Zbl0189.40603MR0259693
  14. U. Mosco, 10.1016/0001-8708(69)90009-7, Advances of Math. 3 (1969), 510-585. (1969) MR0298508DOI10.1016/0001-8708(69)90009-7
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  16. L. W. White, 10.1090/S0002-9947-1979-0530053-5, Trans. Amer. Math. Soc. 250 (1979), 235-246. (1979) MR0530053DOI10.1090/S0002-9947-1979-0530053-5
  17. L. W. White, 10.1137/0318039, SIAM J. of Control and Optim. 18 no. 5 (1980), 534-539. (1980) MR0586169DOI10.1137/0318039

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