| 一类边界退化抛物系统的零可控性 |
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| 引用本文： | 魏岩峰,杜润梅. 一类边界退化抛物系统的零可控性[J]. 吉林大学学报(理学版), 2011, 49(5): 849-852 |
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| 作者姓名： | 魏岩峰 杜润梅 |
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| 作者单位： | 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 |
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| 基金项目： | 国家自然科学基金(批准号:10701021) |
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| 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.
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| 关 键 词： | 边界退化 Carleman不等式 可观测性不等式 零可控性 |
| 收稿时间： | 2010-12-15 |
Null Controllability of a Class of Parabolic Systems with Boundary Degeneracy |
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| WEI Yan-feng,DU Run-mei. Null Controllability of a Class of Parabolic Systems with Boundary Degeneracy[J]. Journal of Jilin University: Sci Ed, 2011, 49(5): 849-852 |
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| Authors: | WEI Yan-feng DU Run-mei |
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| Affiliation: | 1. Department of Basic Courses, Beihua University Teacher’s College, Jilin 132013, Jilin Province, China;2. Institute of Mathematics, Jilin University, Changchun 130012, China |
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| 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. |
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| Keywords: | boundary degeneracy null controllability Carleman inequality observability inequality |
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