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一类边界退化抛物系统的零可控性

Null Controllability of a Class of Parabolic Systems with Boundary Degeneracy
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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. 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.
出处 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2011年第5期849-852,共4页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:10701021)
关键词 边界退化 零可控性 CARLEMAN不等式 可观测性不等式 boundary degeneracy null controllability Carleman inequality observability inequality
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参考文献11

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