Existence theory for Rosseland equation and its homogenized equation

被引：10
|
作者：
Zhang, Qiao-fu [1 ]
Cui, Jun-zhi [1 ]
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, State Key Lab Sci & Engn, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 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; BOUNDARY-VALUE-PROBLEMS; ELLIPTIC PROBLEMS; COEFFICIENTS;
D O I：
10.1007/s10483-012-1646-6
中图分类号：
O29 [应用数学];
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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