A mollification regularization method with Dirichlet kernel to solve potential-free field inverse Schrodinger Cauchy problem

We consider solving the Cauchy problem of the Schrodinger equation with potential-free field by a mollification regularization method in this work. By convolving the measured data with the Dirichlet kernel, the ill-posed case is turned into a well-posed one. Convergent estimates are gained via the priori and the posteriori parameter selection rules. Finally, three simulation experiment results are shown to prove the feasibility and stability of our presented procedure.