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

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  • 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.
    Mathematics Subject Classification: Primary: 35R30; Secondary: 35J10, 35Q40, 35E05, 81Q15.


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