波动方程一阶导数系数反问题解的整体稳定性

Global Stability of the Inverse Problem of the Equation U tt -U xx +q(x)ux=0

文献［１］研究了波动方程一阶导数系数反问题解的局部存在性、唯一性与局部稳定性。本文利用波动方程解的特征线性质将文献［１］的局部稳定性结论推广至整体稳定性。

Paper discussed the local existence aniquenes and local stability of the solution for the inverse problem of determining the coefficient q(x) of the equation U tt -U xx +q(x)U x=0 by means of the property of characteristic line, this paper gives the global stability of the inverse problem considereol in paper .