Existence theory for Rosseland equation and its homogenized equation

被引：0
|
作者：
张乔夫 [1 ]
崔俊芝 [1 ]
机构：
[1] State Key Laboratory of Scientific and Engineering Computing,Institute of Computational Mathematics and Scientific/Engineering Computing,Academy of Mathematics and Systems Science,Chinese Academy of Sciences
来源：
AppliedMathematicsandMechanics(EnglishEdition) | 2012年 / 33卷 / 12期
基金：
中国国家自然科学基金;
关键词：
nonlinear elliptic equation; fixed point; mixed boundary condition; growth condition; maximal regularity; homogenized equation;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
The global boundness and existence are presented for the kind of the Rosseland equation with a general growth condition.A linearized map in a closed convex set is defined.The image set is precompact,and thus a fixed point exists.A multi-scale expansion method is used to obtain the homogenized equation.This equation satisfies a similar growth condition.
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页码：1595 / 1612
页数：18
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