一类拟线性抛物方程组非负entropy解的不存在性(英文)  

Nonexistence of Nonnegative Entropy Solutionsto a Class of Quasi-linear Parabolic Systems

作　　者：王永忠[1] 崔学伟[1] 

机构地区：[1]西北工业大学应用数学系,陕西西安710129

出　　处：《应用数学》2011年第2期279-283,共5页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China (10871157);Specialized Research Fund for the Doctoral Program of Higher Education (200806990032)

摘　　要：本文在有界正则域内研究了一类加权拟线性抛物方程组.由单个抛物方程相关的已知结论得到此类方程组的非负entropy解的正下界,然后利用一般的Picone恒等式并构造适当的检验函数,证明此类方程组的非负entropy解不存在.We investigate a class of quasi-linear parabolic system with a weight in a bounded regular domain. The positive lower boudedness of nonnegative entropy solutions to this system is obtained from some known results for a single equation. Then by using a general Picone identity and constructing some proper test functions,we show the nonexistence of nonnegative entropy solutions.

关 键 词：拟线性抛物方程组 有界正则域 entropy解 不存在 

分 类 号：O175.26[理学—数学]