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Homogenization for Degenerate Quasilinear Parabolic Equations of Second Order

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Abstract

In this paper we study the homogenization of degenerate quasilinear parabolic equations:

$$ \partial _{t} u - {\text{div}}a{\left( {\frac{t} {\varepsilon },\frac{x} {\varepsilon },u,\nabla u} \right)} = f{\left( {t,x} \right)}, $$

where a(t, y, α, λ) is periodic in (t, y).

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Authors and Affiliations

  1. College of Mathematics and Physics, Chongqing University, 400044, China

    Xing-you Zhang & Yong Huang

  2. Institute of Fundamental Sciences, Massey University, Palmerston North, New Zealand

    Xing-you Zhang

  3. Department of Applied Mathematics, Tsinghua University, Beijing, 100084, China

    Yong Huang

Authors
  1. Xing-you Zhang
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  2. Yong Huang
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Correspondence to Xing-you Zhang.

Additional information

Supported by the Key Teachers Foundation of Chongqing University (No.2003018) and the Key Teachers Foundation of Universities in Chongqing (No.20020126)

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Zhang, Xy., Huang, Y. Homogenization for Degenerate Quasilinear Parabolic Equations of Second Order. Acta Mathematicae Applicatae Sinica, English Series 21, 93–100 (2005). https://doi.org/10.1007/s10255-005-0219-x

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  • DOI: https://doi.org/10.1007/s10255-005-0219-x

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