## The Calderón problem with partial data

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by
Carlos E. Kenig
,
Johannes Sjöstrand
,
Gunther Uhlmann

Venue: | Ann. of Math. (to |

Citations: | 48 - 16 self |

### BibTeX

@ARTICLE{Kenig_thecalderón,

author = {Carlos E. Kenig and Johannes Sjöstrand and Gunther Uhlmann},

title = {The Calderón problem with partial data},

journal = {Ann. of Math. (to},

year = {},

pages = {0405486}

}

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### Abstract

In this paper we improve an earlier result by Bukhgeim and Uhlmann [1], by showing that in dimension n≥3, the knowledge of the Cauchy data for the Schrödinger equation measured on possibly very small subsets of the boundary determines uniquely the potential. We follow the general strategy of [1] but use a richer set of solutions to the Dirichlet problem.