变系数波方程系统的能观测性不等式

Observability Inequality for the Wave Equation System with Variable Coefficients

讨论了有界区域上一类变系数波方程系统的精确能控性问题.首先建立了原系统的对偶系统,然后利用Hilbert唯一性方法和乘子法技巧,当T足够大时,给出了系统的能观测性不等式.

The exact controllability of a class of the wave equation systems with variable coefficients in a bounded domain is discussed.Firstly,the dual system of the original system is established.Then,by using the Hilbert uniqueness method and multiplier technique,the observability inequality of the system is given when T is large enough.