一类拟线性抛物方程组非负entropy解的不存在性
일류의선성포물방정조비부entropy해적불존재성
Nonexistence of Nonnegative Entropy Solutions to a Class of Quasi-linear Parabolic Systems
  • 万方数据
    应用数学 응용수학
    MATHEMATICA APPLICATA
    2011年 2期 279-283 ,共5页

    王永忠%崔学伟

    왕영충%최학위

    拟线性抛物方程组%有界正则域%entropy解%不存在 擬線性拋物方程組%有界正則域%entropy解%不存在
    의선성포물방정조%유계정칙역%entropy해%불존재
    Key words: Quasi-linear parabolic system%Bounded regular domain%Entropy solution%Nonexistence
    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.
    본문재유계정칙역내연구료일류가권의선성포물방정조.유단개포물방정상관적이지결론득도차류방정조적비부entropy해적정하계,연후이용일반적Picone항등식병구조괄당적검험함수,증명차류방정조적비부entropy해불존재.
    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.
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