The problem of inverting the left boundary of the time-fractional Schrödinger equation in the unbounded region is studied,which is an ill-posed problem,meaning that the solution discontinuously de-pends on the measurement data.A quasi-boundary regularization method is used to solve this inverse prob-lem,and its regularized solution is given.The error estimates between the regularization solution and the exact solution are derived under the priori and the posteriori regularization parameter selection rule.
关键词
时间分数阶薛定谔方程/反演左边界/不适定问题/拟边界正则化方法
Key words
time-fractional Schrödinger equation/inverting the left boundary/ill-posed problem/quasi-boundary regularization method