论文标题
轴向移动字符串的自由振动：能量估计和边界可观察性
Free vibrations of axially moving strings: Energy estimates and boundary observability
论文作者
论文摘要
我们研究了由波方程描述的轴向移动字符串的小振动，其间隔是两个端点以相同的方向移动的恒定速度。该解决方案由系列公式表示，其中系数在初始数据的功能中明确计算。我们还定义了在时间上保守的溶液的能量表达。然后，我们建立具有显式常数的边界可观察性不平等。
We study the small vibrations of axially moving strings described by a wave equation in an interval with two endpoints moving in the same direction with a constant speed. The solution is expressed by a series formula where the coefficients are explicitly computed in function of the initial data. We also define an energy expression for the solution that is conserved in time. Then, we establish boundary observability inequalities with explicit constants.
