一类边界退化抛物系统的零可控性

J4 ›› 2011, Vol. 49 ›› Issue (05): 849-852.

一类边界退化抛物系统的零可控性

魏岩峰¹, 杜润梅²

1. 北华大学师范分院基础部, 吉林吉林 132013|2. 吉林大学数学研究所, 长春 130012

收稿日期:2010-12-15 出版日期:2011-09-26 发布日期:2011-09-27
通讯作者: 杜润梅 E-mail:durm_dudu@163.com

Null Controllability of a Class of Parabolic Systemswith Boundary Degeneracy

WEI Yanfeng¹, DU Runmei²

1. Department of Basic Courses, Beihua University Teacher’s College, Jilin 132013, Jilin Province, China;2. Institute of Mathematics, Jilin University, Changchun 130012, China

Received:2010-12-15 Online:2011-09-26 Published:2011-09-27
Contact: DU Runmei E-mail:durm_dudu@163.com

摘要/Abstract

摘要：

考虑一类边界退化抛物系统的零可控性, 其中支配方程在退化边界上弱退化, 并且满足Neumann零边值条件. 建立了该系统的Carleman不等式和可观测性不等式, 并得到了该系统的零可控性.

关键词: 边界退化, Carleman不等式, 可观测性不等式, 零可控性

Abstract:

This paper concerns with a class of parabolic systems with boundary degeneracy. The governed equations are weakly degenerate and satisfy homogeneous Neumann boundary value condition at the boundary where the equations are degenerate. With the help of detailed and complicated estimates, we established the Carleman inequality and the observability inequality. Thus the systems are shown to be null controllable.

Key words: boundary degeneracy, null controllability, Carleman inequality, observability inequality

中图分类号:

O175.26

魏岩峰, 杜润梅. 一类边界退化抛物系统的零可控性[J]. J4, 2011, 49(05): 849-852.

WEI Yan-Feng, DU Run-Mei-. Null Controllability of a Class of Parabolic Systemswith Boundary Degeneracy[J]. J4, 2011, 49(05): 849-852.

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