Abstract
This paper concerns an optimal control problem of elliptic singular perturbations in variational inequalities (with controls appearing in coefficients, right hand sides an convex sets of states as well). The existence of an optimal control is verified.
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References
Barbu, V. (1987). Optimal Control of Variational Inequalities. Pitman Advanced Publishing Program, Boston-London.
Huet, D. (1973). Singular Perturbations of Elliptic Problems. Ann. Mat. Pura Appl., 95:77–114.
Khludnev, A.M. and Sokolowski, J. (1997). Modelling and Control in Solid Mechanics. Birkhäuser Verlag, Basel-Boston-Berlin.
Lions, J.L. (1973). Perturbations singuliéres dans les problémes aux limites et en contrôle optimal. Lect Notes in Math. 232, Springer-Verlag, Berlin.
Nečas, J. (1967). Les Méthodes Directes an Théorie des Équations Elliptiques. Masson, Paris/Academia, Prague.
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© 2002 Kluwer Academic Publishers
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Lovíšek, J. (2002). Singular Perturbations in Optimal Control Problem. In: Sequeira, A., da Veiga, H.B., Videman, J.H. (eds) Applied Nonlinear Analysis. Springer, Boston, MA. https://doi.org/10.1007/0-306-47096-9_23
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DOI: https://doi.org/10.1007/0-306-47096-9_23
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-306-46303-7
Online ISBN: 978-0-306-47096-7
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