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Book Review
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Book Information
Author(s):
Gianni Dal Maso
Title:
An introduction to $\Gamma $-convergence
Additional book information:
Birkh\"auser, Boston, 1992, xiv+337 pp., US$69.50. ISBN 0-8176-3679-X
References:
- [1]
- J. Baxter and N. Jain, Asymptotic capacities for finely divided bodies and stopped diffusions, Illinois J. Math. \textbf{31} (1987), 469--495.
- [2]
- A. Bensoussan, J. L. Lions, and G. C. Papanicolaou, Asymptotic analysis for periodic structures, North-Holland, Amsterdam, 1978.
- [3]
- G. Caginalp, An analysis of a phase-field model of a free boundary, Arch. Rational Mech. Anal. \textbf{92} (1986), 108.
- [4]
- D. Cioranescu and F. Murat, \emph{Un terme \'etrange venu d\`ailleurs. {\rm I, II}}, Pitman, London, 1982 pp.~98--138.
- [5]
- G. Dal Maso and U. Mosco, Wiener\RM 's criterion and $\Gamma $-convergence, Appl. Math. Optim. \textbf{15} (1987), 15--63.
- [6]
- E. De Giorgi, $\Gamma $-convergenza e $G$-convergenza, Boll. Un. Mat. Ital. (5) (1977), 213--220.
- [7]
- R. V. Kohn and P. Sternberg, Local minimizers and singular perturbations, Proc. Roy. Soc. Edinburgh Sect. A (1989), 69--84.
- [8]
- R. V. Kohn and G. Strang, Optimal design and relaxation of variational problems. {\rm I, II}, and {\rm III}, Comm. Pure Appl. Math. \textbf{39} (1986), 113--137, 139--182, 353--377.
- [9]
- L. Modica, The gradient theory of phase-transitions and the minimal interface criterion, Arch. Rational Mech. Anal. \textbf{98} (1987), 123--142.
- [10]
- F. Murat, Un contre-exemple pour le probleme du controle dans les coefficients, C. R. Acad. Sci. Paris A \textbf{273} (1971), 708--711.
- [11]
- G. C. Papanicolaou and S. R. S. Varadhan, \emph{Diffusion in regions with many small holes}, Springer-Verlag, Berlin, 1980 pp.~190--206.
- [12]
- J. Rauch and M. Taylor, Electrostatic screening, J. Math. Phys. \textbf{16} (1975), 284--288.
- [13]
- E. Sanchez-Palencia, \emph{Non-homogeneous media and vibration theory}, Springer-Verlag, Berlin, 1980.
- [14]
- P. Sternberg, The effect of a singular perturbation on nonconvex variational problems, Arch. Rational Mech. Anal. \textbf{101} (1988), 209--260.
Additional Information:
Reviewer(s):
Marco
Avellaneda
Review Information:
Journal:
Bull. Amer. Math. Soc.
31
(1994),
277-283.
DOI:
10.1090/S0273-0979-1994-00532-4
PII:
S 0273-0979(1994)00532-4
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