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Titlebook: Homogenization of Differential Operators and Integral Functionals; V. V. Jikov,S. M. Kozlov,O. A. Oleinik Book 1994 Springer-Verlag Berlin

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Passing to the Limit in Nonlinear Variational Problems, theory of homogenization deals with a special sequence of Lagrangians.and its object consists in passing to the limit, as .→ 0, in the variational problem.or some other variational problems involving the Lagrangian .. The expression “passing to the limit” means that we have to find a kind of “limit
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978-3-642-84661-8Springer-Verlag Berlin Heidelberg 1994
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An Introduction to the Problems of Diffusion,Consider the following Cauchy problem for the equation describing diffusion in a stationary periodic medium:
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G-Convergence of Differential Operators,Consider a class of measurable symmetric matrices .(.) ={.(.)} which satisfy the inequality.where . is a bounded domain, and v., v. are positive constants. This class of matrices will be denoted by . (., ., Q).
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