Identifiability at the boundary for first-order terms
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- 1 June 2006
- journal article
- research article
- Published by Taylor & Francis in Applicable Analysis
- Vol. 85 (6-7) , 735-749
- https://doi.org/10.1080/00036810600603377
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.Keywords
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