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Volume 9, Issue 3
Two-scale Convergence and Homogenization for a Class of Quasilinear Elliptic Equations

Xingyou Zhang

J. Part. Diff. Eq., 9 (1996), pp. 263-276.

Published online: 1996-09

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  • 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.
  • Keywords

Partial differential equations homogenization weak convergence almost-periodic two-scale convergence

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COPYRIGHT: © Global Science Press

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@Article{JPDE-9-263, author = {Xingyou Zhang }, title = {Two-scale Convergence and Homogenization for a Class of Quasilinear Elliptic Equations}, journal = {Journal of Partial Differential Equations}, year = {1996}, volume = {9}, number = {3}, pages = {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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5626.html} }
TY - JOUR T1 - Two-scale Convergence and Homogenization for a Class of Quasilinear Elliptic Equations AU - Xingyou Zhang JO - Journal of Partial Differential Equations VL - 3 SP - 263 EP - 276 PY - 1996 DA - 1996/09 SN - 9 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5626.html KW - Partial differential equations KW - homogenization KW - weak convergence KW - almost-periodic KW - two-scale convergence AB - 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.
Xingyou Zhang . (1996). Two-scale Convergence and Homogenization for a Class of Quasilinear Elliptic Equations. Journal of Partial Differential Equations. 9 (3). 263-276. doi:
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