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

作　　者：魏岩峰[1] 杜润梅[2] 

机构地区：[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

出　　处：《吉林大学学报（理学版）》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)

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.

关 键 词：边界退化 零可控性 CARLEMAN不等式 可观测性不等式 

分 类 号：O175.26[理学—数学]