应用数学和力学2012，Vol.33Issue(12)：1487-1502,16.DOI:10.3879/j.issn.1000-0887.2012.12.010
Rosseland方程及其均匀化方程的存在性理论
Existence Theory for Rosseland Equation and Its Homogenized Equation
摘要
Abstract
The global boundness and existence were presented for the kind of Rosseland equation with a general growth condition. A linearized map in a closed convex set was defined. The image set was precompact and this map was continuous, so there existed a fixed point. The Multiple-scale expansion method was used to obtain the homogenized equation. This equation satisfied a similar growth condition.关键词
非线性椭圆方程/不动点/混合边值/增长条件/极大正则性/均匀化方程Key words
nonlinear elliptic equation/fixed point/mixed boundary conditions/growth conditions/maximal regularity/homogenized equation分类
数理科学引用本文复制引用
张乔夫,崔俊芝..Rosseland方程及其均匀化方程的存在性理论[J].应用数学和力学,2012,33(12):1487-1502,16.基金项目
973计划资助项目(2012CB025904) （2012CB025904）
国家自然科学基金资助项目(90916027) （90916027）
