PROPERTIES OF THE BOUNDARY FLUX OF A SINGULAR DIFFUSION PROCESS
The authors study the singular diffusion equation(6)u/(6)t = div(pα|(△)u|p-2(△)u), (x,t) ∈ QT = Ω× (0,T),where Ω (C) Rn is a bounded domain with appropriately smooth boundary (6)Ω, p(x) =dist(x, (6)Ω), 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.
作 者： YIN JINGXUE Wang Chunpeng 作者单位： Department of Mathematics, Jilin University, Changchun 130012, China 刊 名： 数学年刊B辑 ISTIC SCI 英文刊名： CHINESE ANNALS OF MATHEMATICS,SERIES B 年，卷(期)： 2004 25(2) 分类号： P755.1 关键词： Boundary flux Singular diffusion Boundary degeneracy