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G-Convergence and Homogenization of Nonlinear Partial Differential Operators

Author: Alexander Pankov
Publisher: Dordrecht : Springer Netherlands, 1997.
Series: Mathematics and Its Applications, 422.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This volume deals with G-convergence and homogenization for various classes of nonlinear partial differential operators. Chapter 1 is devoted to some preliminary issues from nonlinear analysis as well as to G-convergence of abstract operators, including the case of abstract parabolic operators. Chapter 2 introduces details of the notion of strong G-convergence for nonlinear second order elliptic operators in  Read more...
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Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Alexander Pankov
ISBN: 9789401589574 9401589577
OCLC Number: 851368438
Description: 1 online resource (xiii, 258 pages).
Contents: 1 G-convergence of Abstract Operators --
2 Strong G-convergence of Nonlinear Elliptic Operators --
3 Homogenization of Elliptic Operators --
4 Nonlinear Parabolic Operators --
A Homogenization of Nonlinear Difference Schemes --
A.1 Mesh Functions --
A.2 G-convergence --
A.3 Homogenization --
B Open Problems --
References.
Series Title: Mathematics and Its Applications, 422.
Responsibility: by Alexander Pankov.

Abstract:

It seems a good idea to find a differential operator A such that uk ~ u, where u is a solution of the limit equation Au = f Such a limit operator is usually called the homogenized operator for the  Read more...

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