The stability of evolutionary p(x)-Laplacian equation

被引：0
|
作者：
Zhan, Huashui [1 ]
机构：
[1] Xiamen Univ Technol, Sch Appl Math, Xiamen 361024, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2017年
关键词：
electrorheological fluid equation; boundary degeneracy; well-posedness;
D O I：
10.1186/s13661-016-0742-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper studies the equation ut = div(a(x) vertical bar del u vertical bar p((x)-2) del u), with the boundary degeneracy coming from a(x)vertical bar(x is an element of partial derivative Omega) = 0. The paper introduces a new kind of weak solutions of the equation. One can study the stability of the new kind of weak solutions without any boundary value condition.
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页数：11
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