张颖妹:GLOBAL EXISTENCE AND POINTWISE ESTIMATES OF SOLUTIONS TO GENERALIZED KURAMOTO-SIVASHINSKY SYSTEM IN MULTI-DIMENSIONS论文

张颖妹:GLOBAL EXISTENCE AND POINTWISE ESTIMATES OF SOLUTIONS TO GENERALIZED KURAMOTO-SIVASHINSKY SYSTEM IN MULTI-DIMENSIONS论文

本文主要研究内容

作者张颖妹,李朗,房少梅(2019)在《GLOBAL EXISTENCE AND POINTWISE ESTIMATES OF SOLUTIONS TO GENERALIZED KURAMOTO-SIVASHINSKY SYSTEM IN MULTI-DIMENSIONS》一文中研究指出:The Cauchy problem of the generalized Kuramoto-Sivashinsky equation in multidimensions(n ≥ 3) is considered. Based on Green’s function method, some ingenious energy estimates are given. Then the global existence and pointwise convergence rates of the classical solutions are established. Furthermore, the L~p convergence rate of the solution is obtained.

Abstract

The Cauchy problem of the generalized Kuramoto-Sivashinsky equation in multidimensions(n ≥ 3) is considered. Based on Green’s function method, some ingenious energy estimates are given. Then the global existence and pointwise convergence rates of the classical solutions are established. Furthermore, the L~p convergence rate of the solution is obtained.

论文参考文献

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  • 论文详细介绍

    论文作者分别是来自Acta Mathematica Scientia(English Series)的张颖妹,李朗,房少梅,发表于刊物Acta Mathematica Scientia(English Series)2019年01期论文,是一篇关于,Acta Mathematica Scientia(English Series)2019年01期论文的文章。本文可供学术参考使用,各位学者可以免费参考阅读下载,文章观点不代表本站观点,资料来自Acta Mathematica Scientia(English Series)2019年01期论文网站,若本站收录的文献无意侵犯了您的著作版权,请联系我们删除。

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