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References
R.A. Adams Sobolev Spaces Academic Press, New York 1975
M.P. Bendsoe, N. Olhoff and J. SokoĊowski, Sensitivity analysis of problems of elasticity with unilateral constraints, J. Struct. Mech. 13(2) 1985 p.201â222
A. Haraux, How to differentiate the projection on a convex set in Hilbert space. Some applications to variational inequalities. J. Math. Soc. Japan 29(4) 1977 p.615â631
E.J. Haug and J. Cea, Optimization of Distributed Parameter Structures Vols. I and II. Sijthoff and Noordhoff, Alpen aan den Rijn, The Netherlands 1981
A.M. Khludnev, Existence and regularity of solutions of unilateral boundary value problems in linear theory of shallow shells. (Russian) Differentsial'nye Uravneniya 11 (1984) p.1968â1975
A.M. Khludnev, Variational approach to contact problem of shallow shell with rigid body. (Russian) Differentsial'nye Uravneniya s Chastnymi Proizvodnymi. Akad. Nauk SSSR, Sibirsk. Otdel., Novosibirsk, 1981, no.2, p.109â114
J. Lovisek, Optimal design of cylindrical shell with a rigid obstacle Aplikace Matematiky 34(1989), No.1,p.18â32.
J.L. Lions and E. Magenes, Problemes aux limites non homogenes. Dunod, Paris, 1968
F. Mignot, Controle dans les inequations variationelles elliptiques. J. Funct. Anal.(22)1976 p.25â39
M. Rao and J. SokoĊowski, Sensitivity of unilateral problems in H 20 (Îİ) and applications (to appear)
M. Rao and J. SokoĊowski, Shape sensitivity analysis of state constrained optimal control problems for distributed parameter systems. Lecture Notes in Control and Information Sciences Vol.114, Springer Verlag (1989) p.236â245
J. SokoĊowski, Sensitivity analysis for a class of variational inequalities,In: [H-C], p.1600â1609
J. SokoĊowski, Optimal control in coefficients of boundary value problems with unilateral constraints Bulletin of the Polish Academy of Sciences, Technical Sciences, vol.31, no.1â12, 1983 p.71â81
J. SokoĊowski, Sensitivity analysis of control constrained optimal control problems for distributed parameter systems. SIAM J. Control and Optimization (25)6, 1987 p.1542â1556
J. SokoĊowski, Shape sensitivity analysis of boundary optimal control problems for parabolic systems. SIAM Journal on Control and Optimization. 1988
J. SokoĊowski and J.P. Zolesio, Shape sensitivity analysis of unilateral problems. SIAM J. Math. Anal. 5(18), 1987 p.1416â1437
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Rao, M., SokoĊowski, J. (1991). Sensitivity analysis of shallow shell with obstacle. In: Kurzhanski, A., Lasiecka, I. (eds) Modelling and Inverse Problems of Control for Distributed Parameter Systems. Lecture Notes in Control and Information Sciences, vol 154. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0044490
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DOI: https://doi.org/10.1007/BFb0044490
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