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一类串联系统的边界Carleman估计 被引量：1

Boundary carleman estimate for a class of cascade system
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摘要 讨论了一类由两个热方程所组成的串联系统,在该串联系统中,将第一个方程的解作为第二个方程的边界输入,建立了解的边界Carleman型先验估计,即解在区域内部的加权L2模可以被解在部分边界上的加权L2模控制. This paper is concerned with a class of cascade system composed by two heat equations.In this cascade system,the solution of the first equation is the boundary input of the second equation.The boundary Carleman-type priori estimates of solutions are established.That is,the weighted L2 norm of a solution in the domain is controlled by the weighted L2 norm of a solution on the partial boundary.
作者 栾姝 徐鹏
机构地区 湛江师范学院数学与计算科学学院 东北师范大学数学与统计学院
出处 《东北师大学报（自然科学版）》 CAS CSCD 北大核心 2011年第2期39-45,共7页 Journal of Northeast Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(10771085) 湛江师范学院博士专项基金资助项目(ZL0901)
关键词 热方程 串联系统 边界Carleman估计 heat equation； cascade system； boundary Carleman estimate
分类号 O231.4 [理学—运筹学与控制论]
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参考文献14

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同被引文献15

  • 1ZHU XUSHENG,WANG WEIKE.THE REGULAR SOLUTIONS OF THE ISENTROPIC EULER EQUATIONS WITH DEGENERATE LINEAR DAMPING[J].Chinese Annals of Mathematics,Series B,2005,26(4):583-598. 被引量：18
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东北师大学报（自然科学版）
2011年 第2期

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