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On the homogenization of degenerate parabolic equations
Authors:Jian Huaiyu
Affiliation:(1) Department of Mathematical Sciences, Tsinghua University, 100084 Beijing, China
Abstract:The homogenization of the nonlinear degenerate parabolic equations, 
$$partial _t b(u) - diva(x/ in ,t/ in ,u,nabla u) = f(x,t)$$
, is studied, where,a(y,t, μ, λ) is periodic in (y,t) andb may be a nonliear function whose prototype is signu withr<0. This paper is supported by the National Natural Sciences Foundation of China (No.19701018).
Keywords:Parabolic equation   homogenization   boundary value problem   compactness method
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