The Nonexistence of the Solutions for the Non-Newtonian Filtration Equation with Absorption  

作　　者：OU Qitong 

机构地区：[1]School of Applied Mathematics,Xiamen University of Technology,Xiamen 361024,China

出　　处：《Journal of Partial Differential Equations》2021年第4期369-378,共10页偏微分方程（英文版）

基　　金：supported by Natural Science Foundation of Fujian province in China(No:2019J01858).

摘　　要：The paper proves the nonexistence of the solution for the following Cauchy problem{ut=div(|■u^m|(p-2■u^(m)))^-λu^(q),u(x,0)=δ(x),(x,t)∈S_(T)=R^(N)×(0,T),x∈R^(N),under some conditions on m,p,q,λ,whereδis Dirac function.

关 键 词：Non-Newtonian filtration equation Cauchy problem NONEXISTENCE 

分 类 号：O175.29[理学—数学] O175.26[理学—基础数学]