期刊文献+

乘子法在一类波动方程精确能控性中的应用 被引量:2

An Application of the Multiplier Method in the Exact Controllability of the Wave Equation
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摘要 讨论一类带有Dirichlet边界波动方程的精确能控性,首先利用乘子法证明其对偶系统的能观性,然后利用希尔伯特唯一性方法证明该系统是精确能控的。 Consider the exact controllability of the wave equation with Dirichlet boundary, the observability of the dual system firstly is proved by using the multiplier method. Then the exact controllability of the system is verified by using Hilbert unique method.
出处 《太原科技大学学报》 2008年第3期235-238,共4页 Journal of Taiyuan University of Science and Technology
关键词 波动方程 精确能控性 乘子法 exact controllability, wave equation, the multiplier method
  • 相关文献

参考文献8

  • 1LIONS J L. Exact controllability, stabilizability, and perturbations for distributed system [ J ]. Siam Review, 1988, 30 ( 1 ) : 1- 68.
  • 2KOMORNIK V. Exact controbility and stabilization and the multiplier method [ M] . Paris: Masson, 1994.
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  • 5郭利军,李丽萍.一类带有干扰项波动方程的精确能控性[J].太原科技大学学报,2007,28(4):317-320. 被引量:3
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二级参考文献6

  • 1J L LIONS.Exact controllability,stabilizability,and perturbations for distributed system[J].Siam Review,1988,30(1):1-68.
  • 2KONORNIK V.Exact controbility and stabilization and the multiplier method[M].Paris,Masson,1994,7-60.
  • 3KOMORNKU V,ZUAZUA E.A direct method for boundary stabilization of the wave equation[J].math.Pures et Apple,1990,69:33-54.
  • 4RUTH F.Curtain Hans Zart An introduction to infinite-Dimensional Linear Systems Theroy[M].Springer-Springer-verlag New york Berlin Heiderlberg London praris,1995,101-128.
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共引文献7

同被引文献12

  • 1KOMORNIK V,ZUAZUA E. A direct method for boundary stabilization of the wave equation[ J ]. Math. Pures et Apple, 1990, 69:33-54.
  • 2KOMORNIK V. Exact controbility and stabilization the multiplier method[ M ]. Paris: Masson, 1994.
  • 3LIONS J L. Exact controllability, stabilizability, and perturbations for distributed system [ J ]. Siam Review, 1988,30 ( 1 ) : 1-68.
  • 4GAO HONGJUN, JAIME E, MUM- OZ RIVERA. Global Existence and Decay for the Semilinear Thermoelastic Contact Problem [J]. J Diff Eqs,2002,186:52-68.
  • 5程永玲 张建文.非线性热弹耦合梁整体强解的存在性.太原理工大学学报,2007,38:301-302.
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  • 7LIONS J L. Quelques Methodes de Resolution de Problemes aux Limits Non Lineares[ M ]. Paris:Dunod Gauthie Villars, 1969.
  • 8程士宏.测渡论与概率论基础[M].北京:北京大学出版社,2004.
  • 9郭利军,李丽萍.一类带有干扰项波动方程的精确能控性[J].太原科技大学学报,2007,28(4):317-320. 被引量:3
  • 10王银珠,郭利军.一类广义非线性的Sine-Gordon型方程弱解的存在及唯一性[J].太原科技大学学报,2008,29(1):46-50. 被引量:2

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