| Abstract: |
| In this talk, we shall discuss a space-time homogenization problem for nonlinear diffusion equations with periodically oscillating (in space and time) coefficients. Main results consist of a homogenization theorem, i.e., convergence of solutions as the period of coefficients goes to zero and characterization of homogenized equations and qualitative properties of homogenized matrices, which deeply depend on the singularity and degeneracy of nonlinear diffusion under a certain critical case in terms of the log-ratio of spatial and temporal periods of the coefficients. |
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