# American Institute of Mathematical Sciences

May  2015, 9(2): 469-478. doi: 10.3934/ipi.2015.9.469

## Increasing stability for the inverse problem of the Schrödinger equation with the partial Cauchy data

 1 Department of Mathematics, Statistics and Physics, Wichita State University, Wichita, KS 67260, United States

Received  April 2014 Revised  January 2015 Published  March 2015

To show increasing stability in the problem of recovering potential $c \in C^1(\Omega)$ in the Schrödinger equation with the given partial Cauchy data when energy frequency $k$ is growing, we will obtain some bounds for $c$ which can be viewed as an evidence of such phenomenon. The proof uses almost exponential solutions and methods of reflection.
Citation: Li Liang. Increasing stability for the inverse problem of the Schrödinger equation with the partial Cauchy data. Inverse Problems & Imaging, 2015, 9 (2) : 469-478. doi: 10.3934/ipi.2015.9.469
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