Global uniqueness for an inverse problem for the magnetic Schrödinger operator

Ru-Yu Lai

doi:10.3934/ipi.2011.5.59

Article Contents

2011, Volume 5, Issue 1: 59-73. Doi: 10.3934/ipi.2011.5.59

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Global uniqueness for an inverse problem for the magnetic Schrödinger operator

Ru-Yu Lai^1,

1.
Department of Mathematics, University of Washington, Seattle, Washington 98105

Received: November 30, 2009

Revised: October 31, 2010

Published: January 2011

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Abstract

In this paper, we prove the global uniqueness of determining both the magnetic field and the electrical potential by boundary measurements in two-dimensional case. In other words, we prove the uniqueness of this inverse problem without any smallness assumption.

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Mathematics Subject Classification: Primary: 30G20; Secondary: 30E25 31A15 35J10.

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