摘要
In this paper we are concerned with the following nonlinear degenerate parabolic systems u_t=△x(gradψ(u))+D_xb(u)+f(x.t.u)with Dirichlet boundary conditions,where u,gradψ(u),b and f are vector valued functions and xUnder some structure conditions on the terms of the systems,we have established theresults on existence and uniquence of global solutions of the systems.
In this paper we are concerned with the following nonlinear degenerate parabolic systems ut=△x(grad (u))+Dxb(u)+f (x. t. u)with Dirichlet boundary conditions,where Uvgrad p(u),b and f are vector valued functions and x RN. Under some structure conditions on the terms of the systems, we have established the results on existence and uniquence of global solutions of the systems.
出处
《福建师大福清分校学报》
1992年第3期69-85,共17页
Journal of Fuqing Branch of Fujian Normal University
基金
The project supported by the Natural Science Foundation of FuJian Province of China
关键词
边值问题
初值问题
解
存在线
非线性湿化抛物线系统
非线性退化抛物线系统
初边值问题
Initial and boundary value problem , nonlinear degenerate parabolic systems,structure condition, approximated problem,global solution ,existence, uniqueness.
