PROPERTIES OF THE BOUNDARY FLUX OF A SINGULAR DIFFUSION PROCESS  

作　　者：YINJINGXUE WANGCHuNPENG 

机构地区：[1]DepartmentofMathematics，JilinUniversity，Changchun130012，China． [2]DepartmentofMathematics，JilinUniversity，Changchun130012，China．

出　　处：《Chinese Annals of Mathematics,Series B》2004年第2期175-182,共8页数学年刊（B辑英文版）

基　　金：Project supported by the 973 Project of the Ministry of Science and Technology of China, the Outstanding Youth Foundation of China (No.10125107);the Department of Mathematics of Jilin University.

摘　　要：The authors study the singular diffusion equationwhere Ω(?)Rn is a bounded domain with appropriately smooth boundary δΩ, ρ(x) = dist(x,δΩ), and prove that if α≥p-1, the equation admits a unique solution subject only to a given initial datum without any boundary value condition, while if 0 <α< p - 1, for a given initial datum, the equation admits different solutions for different boundary value conditions.

关 键 词：Boundary flux Singular diffusion Boundary degeneracy 

分 类 号：O175.8[理学—数学]