Existence theory for Rosseland equation and its homogenized equation  

作　　者：张乔夫 崔俊芝 

机构地区：[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

出　　处：《Applied Mathematics and Mechanics(English Edition)》2012年第12期1595-1612,共18页应用数学和力学（英文版）

基　　金：Supported by the National Basic Research Program of China(973 Program)(No.2012CB025904);the National Natural Science Foundation of China(No.90916027)

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.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.

关 键 词：nonlinear elliptic equations fixed points mixed boundary conditions growthconditions maximal regularitys homogenized equation 

分 类 号：O175[理学—数学]