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This article shows that knowledge of the Dirichlet-Neumann map on certainsubsets of the boundary for input functions supported roughly on the rest ofthe boundary can be used to determine a magnetic Schr\"{o}dinger operator. Withsome geometric conditions on the domain, either the subset on which the DN mapis measured or the subset on which the input functions have support may be madearbitrarily small. This is an improvement on the partial data result in a paperby Dos Santos Ferreira, Kenig, Sj\"{o}strand, and Uhlmann. The method involvesmodifying the Carleman estimate in that paper by conjugation with operatorsbuilt from pseudodifferential pieces.

A Partial Data Result for the Magnetic Schrodinger Inverse Problem