Skip to Main Content

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Shape optimization for Dirichlet problems: Relaxed solutions and optimality conditions
HTML articles powered by AMS MathViewer

by Giuseppe Buttazzo and Gianni Dal Maso PDF
Bull. Amer. Math. Soc. 23 (1990), 531-535
References
  • H. Attouch, Variational convergence for functions and operators, Applicable Mathematics Series, Pitman (Advanced Publishing Program), Boston, MA, 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.
  • Gianni Dal Maso, $\Gamma$-convergence and $\mu$-capacities, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 14 (1987), no. 3, 423–464 (1988). MR 951228
  • Gianni Dal Maso and Umberto Mosco, Wiener’s criterion and $\Gamma$-convergence, Appl. Math. Optim. 15 (1987), no. 1, 15–63. MR 866165, DOI 10.1007/BF01442645
  • J. L. Doob, Classical potential theory and its probabilistic counterpart, Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 262, Springer-Verlag, New York, 1984. MR 731258, DOI 10.1007/978-1-4612-5208-5
  • Robert V. Kohn and Gilbert Strang, Optimal design and relaxation of variational problems. I, Comm. Pure Appl. Math. 39 (1986), no. 1, 113–137. MR 820342, DOI 10.1002/cpa.3160390107
  • Robert V. Kohn and Michael Vogelius, Relaxation of a variational method for impedance computed tomography, Comm. Pure Appl. Math. 40 (1987), no. 6, 745–777. MR 910952, DOI 10.1002/cpa.3160400605
  • 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.
  • F. Murat and L. Tartar, Calcul des variations et homogĂ©nĂ©isation, Homogenization methods: theory and applications in physics (BrĂ©au-sans-Nappe, 1983) Collect. Dir. Études Rech. Élec. France, vol. 57, Eyrolles, Paris, 1985, pp. 319–369 (French). MR 844873
  • F. Murat and L. Tartar, Optimality conditions and homogenization, Nonlinear variational problems (Isola d’Elba, 1983) Res. Notes in Math., vol. 127, Pitman, Boston, MA, 1985, pp. 1–8. MR 807532
  • Olivier Pironneau, Optimal shape design for elliptic systems, Springer Series in Computational Physics, Springer-Verlag, New York, 1984. MR 725856, DOI 10.1007/978-3-642-87722-3
  • Luc Tartar, Problèmes de contrĂ´le des coefficients dans des Ă©quations aux dĂ©rivĂ©es partielles, Control theory, numerical methods and computer systems modelling (Internat. Sympos., IRIA LABORIA, Rocquencourt, 1974) Lecture Notes in Econom. and Math. Systems, Vol. 107, Springer, Berlin, 1975, pp. 420–426. MR 0428166
  • Jean-Paul ZolĂ©sio, The material derivative (or speed) method for shape optimization, Optimization of distributed parameter structures, Vol. II (Iowa City, Iowa, 1980) NATO Adv. Study Inst. Ser. E: Appl. Sci., vol. 50, Nijhoff, The Hague, 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
  • Journal: Bull. Amer. Math. Soc. 23 (1990), 531-535
  • MSC (1985): Primary 49A50
  • DOI: https://doi.org/10.1090/S0273-0979-1990-15971-3
  • MathSciNet review: 1027896