Existence and Uniqueness of Global Solution for Certain Degenerate Reaction-Diffusion Systems

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Lu Guo-fu(Math. Dept.

Fu Qing Branch of F'u Jian Normal Univ. )

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福建师大福清分校学报 | 1993年 / 01期

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<正> In this paper we discuss the following nonlinear degenerate parabolic systems ui=△ai（ui）+bi（x,t,ui）Dui+fi（x,t,u）for i = 1,2, …, m and u = （u1,…, um） is a vector function, with Dirichlet boundary condition. Under some structure conditions on ai,bi and fi and initial data ui~o∈Li（Ω） for some pi>pi~o = 1,2,…,m, the result on existence and uniquence of global solution is established.

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页码：113 / 128+112 +112

页数：17

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