首页 | 本学科首页   官方微博 | 高级检索  
     


The Nonexistence of the Solutions for the Non-Newtonian Filtration Equation with Absorption
Authors:Qitong Ou
Affiliation:School of Applied Mathematics,Xiamen University of Technology,Xiamen 361024,China
Abstract:
The paper proves the nonexistence of the solution for the following Cauchy problembegin{align*}begin{cases}u_{t} ={rm div}left(left|nabla u^{m} right|^{p-2} nabla u^{m} right)-lambda ; u^{q},&qquad left(x,tright)in S_{T} ={mathbb{R}}^N times left(0,Tright), uleft(x,; 0right)=delta left(xright), &qquad xin {mathbb{R}}^,end{cases}end{align*}under some conditions on textit{m,p,q},$lambda$, where $delta $ is Dirac function.
Keywords:Non-Newtonian filtration equation Cauchy problem nonexistence.
本文献已被 万方数据 等数据库收录!
点击此处可从《偏微分方程(英文版)》浏览原始摘要信息
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号