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Zbl 0838.35001
Zhikov, V.V.; Kozlov, S.M.; Olejnik, O.A.
Homogenization of differential operators and integral functionals. Transl. from the Russian by G. A. Yosifian. (English)
[B] Berlin: Springer-Verlag. xi, 570 p. DM 178.00; öS 1388.40; sFr. 178.00 (1994). ISBN 3-540-54809-2/hbk

[For a review of the Russian original see Zbl 0801.35001.]\par Although the titles of all chapters in this interesting book appear as well known, their contents are essentially new in comparison with the basic monographs of V. A. Marchenko and E. Ja. Khruslov, A. Bensoussan, J. L. Lions and L. Papanicolau, J. L. Lions, E. Sanchez-Palencia, N. S. Bahvalov and G. P. Panasenko, O. A. Oleinik, G. S. Shamaev and G. A. Yosifian. The authors consider new types of homogenization problems concerning differential operators with random coefficients, diffusion in random media, $G$-convergence, estimates of Hashin-Strikman type, stratified media, spectral problems, $\Gamma$-convergence, variational problems, plasticity etc. The stochastic point of view on composite structures is present in the most chapters. Without doubt, this book promotes an important new stage in the homogenization theory.
[I.Aganović (Zagreb)]

MSC 2000:: *35-02 Research monographs (partial differential equations)
35B27 Homogenization, etc.
47F05 Partial differential operators
74E30 Composite and mixture properties
74E05 Inhomogeneity

Keywords: $G$-convergence; random media; percolation; diffusion; elasticity

Citations: Zbl 0801.35001

Cited in: Zbl 1229.35001 Zbl 1003.76086

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