Article Contents
Article Contents

# Increasing stability for the Schrödinger potential from the Dirichlet-to Neumann map

• We derive some bounds which can be viewed as an evidence of increasing stability in the problem of recovery of the potential coefficient in the Schrödinger equation from the Dirichlet-to-Neumann map, when frequency (energy level) is growing. These bounds hold under certain a-priori bounds on the unknown coefficient. Proofs use complex- and real-valued geometrical optics solutions. We outline open problems and possible future developments.
Mathematics Subject Classification: Primary: 35R30; Secondary: 78A46.

 Citation:

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