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Article

Keywords:
minimax problem; optimal control; subdifferential; strong solution; Mosco convergence; obstacle problems; differential variational inequalities
Summary:

References:
[1] Attouch H.: Variational Convergence for Functionals and Operators. Pitman, London, 1984. MR 0773850
[2] Balder E.: Necessary and sufficient conditions for $L_1$-strong-weak lower semicontinuity of integral functionals. Nonlin. Anal. 11 (1987), 1399-1404. MR 0917861
[3] Berge C.: Espaces Topologiques et Fonctions Multivoques. Dunod, Paris, 1966.
[4] Brézis H.: Operateurs Maximaux Monotones et Semigroupes de contractions dans les Espaces de Hilbert. North Holland, Amsterdam, 1973.
[5] Brézis H.: Monotonicity methods in Hilbert spaces and some applications to nonlinear partial differential equations. in Contributions to Nonlinear Functional Analysis, ed. by E. Zarantonello, Academic Press, New York, 1971, pp. 101-156. MR 0394323
[6] Cornet B.: Existence of slow solutions for a class of differential inclusions. J. Math. Anal. Appl. 96 (1983), 130-147. MR 0717499 | Zbl 0558.34011
[7] Dal Maso G.: An Introduction to $\Gamma $-convergence. Birkhäuser, Boston, 1993. MR 1201152 | Zbl 0816.49001
[8] Krasnosel'skii M.A., Pokrovskii A.V.: Systems with Hysteresis. Springer-Verlag, New York, 1988. Zbl 0665.47038
[9] Kenmochi N.: Some nonlinear parabolic variational inequalities. Israel J. Math. 22 (1975), 304-331. MR 0399662
[10] Moreau J.-J.: Evolution problem associated with a moving convex set in a Hilbert space. J. Differential Equations 26 (1977), 347-374. MR 0508661
[11] Mosco U.: Convergence of convex sets and of solutions of variational inequalities. Advances in Math. 3 (1969), 510-585. MR 0298508 | Zbl 0192.49101
[12] Papageorgiou N.S.: On evolution inclusions associated with time dependent convex subdifferentials. Comment. Math. Univ. Carolinae 31 (1990), 517-527. MR 1078486 | Zbl 0711.34076
[13] Wagner D.: Survey of measurable selection theorems. SIAM J. Control Optim. 15 (1977), 859-903. MR 0486391 | Zbl 0407.28006
[14] Yamada Y.: On evolution equations generated by subdifferential operators. J. Fac. Sci. Univ. Tokyo 23 (1976), 491-515. MR 0425701 | Zbl 0343.34053
[15] Yotsutani S.: Evolution equations associated with subdifferentials. J. Math. Soc. Japan 31 (1978), 623-646. MR 0544681
[16] Zhikov V., Kozlov S., Oleinik O., Ngoan K.: Averaging and $G$-convergence of differential operators. Russian Math. Surveys 34 (1979), 69-147. MR 0562800
[17] Ahmed N.U.: Optimization and Identification of Systems Governed by Evolution Equations on Banach Spaces. Longman Publ. Co., Essex, United Kingdom, 1988. MR 0982263
[18] Ahmed N.U.: Optimal control of infinite dimensional uncertain systems. J. Optim. Th. Appl. 80 (1994), 261-272. MR 1259659 | Zbl 0798.49032
[19] Tanimoto S.: Duality in the optimal control of non-well posed distributed systems. J. Math. Anal. Appl. 171 (1992), 277-282. MR 1192506 | Zbl 0765.49002
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