Identifiability at the boundary for first-order terms |
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Authors: | Russell M. Brown |
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Affiliation: | Department of Mathematics , University of Kentucky , Lexington, Kentucky 40506-0027, USA |
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Abstract: | Let Ω be a domain in R n whose boundary is C 1 if n≥3 or C 1,β if n=2. We consider a magnetic Schrödinger operator L W , q in Ω and show how to recover the boundary values of the tangential component of the vector potential W from the Dirichlet to Neumann map for L W , q . We also consider a steady state heat equation with convection term Δ+2W·? and recover the boundary values of the convection term W from the Dirichlet to Neumann map. Our method is constructive and gives a stability result at the boundary. |
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Keywords: | Inverse problem Magnetic Schrödinger operator Boundary determination AMS Subject Classification: 35R30 |
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