Available in electronic format
Available in print format
Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

Shape optimization for Dirichlet problems: Relaxed solutions and optimality conditions

Author(s): Giuseppe Buttazzo; Gianni Dal Maso
Journal: Bull. Amer. Math. Soc. 23 (1990), 531-535.
MSC (1985): Primary 49A50
MathSciNet review: 1027896
Retrieve article in: PDF

References | Similar articles | Additional information

References:

1.
H. Attouch, Variational convergence for functions and operators, Pitman, London, 1984. MR 773850
2.
J. Cea, Problems of shape optimal design, Proceedings of Optimization of Distributed Parameter Structures, Iowa City, 1980, Sijthoff and Noordhoff, Rockville, 1981, pp. 1005-1048.
3.
G. Dal Maso, Ґ-convergence and μ-capacities, Ann. Scuola Norm. Sup. Pisa CI. Sci. (4) 14 (1987), 423-464. MR 951228
4.
G. Dal Maso and U. Mosco, Wiener's criterion and Ґ-convergence, Appl. Math. Optim. 15 (1987), 15-63. MR 866165
5.
J. L. Doob, Classical potential theory and its probabilistic counterpart, Springer-Verlag, Berlin, 1984. MR 731258
6.
R. V. Kohn and G. Strang, Optimal design and relaxation of variational problems, I, II, III, Comm. Pure Appl. Math. 39 (1986), 113-137, 139-182, 353-377. MR 820342
7.
R. V. Kohn and M. Vogelius, Relaxation of a variational method for impedance computed tomography, Comm. Pure Appl. Math. 40 (1987), 745-777. MR 910952
8.
F. Murat, Control in coefficients, Encyclopedia of Systems and Control, Pergamon Press, Elmsford, N.Y., 1983, pp. 808-812.
9.
F. Murat and J. Simon, Etude de problemes d'optimal design, Proceedings of Optimization Techniques. Modelling and Optimization in the Service of Man, Part 2, Nice 1975, Lecture Notes in Comput. Sci. 41 (1976), 54-62.
10.
F. Murat and J. Simon, Sur le contrôle par un domaine géometrique, Univ. Paris VI, preprint 76015, 1976.
11.
F. Murat and L. Tartar, Calcul des variations et homogénéisation, Proceedings of Les Méthodes de l'homogénéisation: Théorie et applications en physique, École d'Eté d'Analyse Numérique C.E.A.-E.D.F.-INRIA, Bréau-sans-Nappe 1983, Collect. Dir. Études Rech. Elec. France 57 (1985), 319-369. MR 844873
12.
F. Murat and L. Tartar, Optimality conditions and homogenization, Proceedings of Nonlinear Variational Problems, Isola d'Elba 1983, Res. Notes Math. 127 (1985), 1-8. MR 807532
13.
O. Pironneau, Optimal shape design for elliptic systems, Springer-Verlag, Berlin, 1984. MR 725856
14.
L. Tartar, Problèmes de contrôle des coefficients dans des équations aux dérivées partielles, Control Theory, Numerical Methods and Computer Systems Modelling, Lecture Notes in Econom. and Math. Systems 107 (1975), 420-426. MR 428166
15.
J. P. Zolesio, The material derivative (or speed) method for shape optimization, Proceedings of Optimization of Distributed Parameter Structures, Iowa City, 1980, Sijthoff and Noordhoff, Rockville, 1981, pp. 1089-1151. MR 690991

Similar Articles:

Retrieve articles in Bulletin of the American Mathematical Society with MSC (1985): 49A50

Retrieve articles in all Journals with MSC (1985): 49A50


Additional Information:

DOI: 10.1090/S0273-0979-1990-15971-3
PII: S 0273-0979(1990)15971-3


  AMS Website Logo Small Comments: webmaster@ams.org
© Copyright 2009, American Mathematical Society
Privacy Statement
Search the AMSPowered by Google