一般非线性渗流方程广义解的存在唯一性与Blow-up
In this paper,we consider nonnegative solutions to Cauchy problem for the general nonlinear filtration equations ut-Dj(aij(x,t,u)Diφ(u))+bi(t,u)Diu+C(x,t,u)=0,and obtain the existence,uniqueness and blow-up in finite time of these solutions under some structure conditions.
作 者： 霍振宏 李海峰 HUO Zhen-hong LI Hai-feng 作者单位： Department of Mathematics,Zhongyuan Institute of Technology,Zhengzhou 450007,China 刊 名： 数学季刊（英文版） ISTIC PKU 英文刊名： CHINESE QUARTERLY JOURNAL OF MATHEMATICS 年，卷(期)： 2008 23(2) 分类号： O175.27 O175.29 关键词： nonlinear filtration equation Cauchy problem generalized solution existence uniqueness blow-up