Homogenization Of Quasilinear Parabolic Equations In Periodic Media

J. García-Azorero,C. E. Gutiérrez,I. Peral

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS（2003）

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摘要

We study the homogenization of the nonlinear parabolic equation,(u(epsilon))(t)(x, t) - div(x)(F(D(x)u(epsilon)(x, t), x/epsilon, t/epsilon(2))) = 0,where F(xi, y, s) = F(xi, y + m, s + k) m is an element of Z(n), k is an element of Z, a.e. (y, s). We will consider the homogenization as a viscosity process.

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关键词

homogenization, nonlinear parabolic equations, viscosity solutions

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