Two-scale Convergence and Homogenization for a Class of Quasilinear Elliptic Equations

Two-scale Convergence and Homogenization for a Class of Quasilinear Elliptic Equations

Year:    1996

Journal of Partial Differential Equations, Vol. 9 (1996), Iss. 3 : pp. 263–276

Abstract

By use of Fourier analysis techniques, we obtain some new properties of the almost-periodic functions and extend the two-scale convergence method in the homogenization theory to the case of almost-periodic oscillations. Then, we use some new techniques to study the homogenization for quasilinear elliptic equations with almostperiodic coefficients: div a(x,x/ε, u, Du) = f(x) in Ω and obtain the weak convergence and corrector result.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1996-JPDE-5626

Journal of Partial Differential Equations, Vol. 9 (1996), Iss. 3 : pp. 263–276

Published online:    1996-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Partial differential equations