Individual Homogenization of Nonlinear Parabolic Operators

نویسنده

  • Y. EFENDIEV
چکیده

In this paper, we prove an individual homogenization result for a class of almost periodic nonlinear parabolic operators. The spatial and temporal heterogeneities are almost periodic functions in the sense of Besicovitch. The latter allows discontinuities and suitable for many applications. First, we derive stability and comparison estimates for sequences of G-convergent nonlinear parabolic operators. Further, using these estimates, the individual homogenization result is shown. AMS Subject Classification (2000): 35B27, 35K55

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منابع مشابه

On Homogenization of Almost Periodic Nonlinear Parabolic Operators

In the present paper we prove an individual homogenization result for a class of almost periodic nonlinear parabolic operators. AMS Subject Classification (2000): 35B27, 35K55

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تاریخ انتشار 2006