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Identifiability at the boundary for first-order terms
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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Metadata
- Authors
- Brown, R. M., & Salo, M.
- Venue
- Applicable Analysis
- Publisher
- Informa UK Limited
- Published
- 2006-06
- Volume
- 85
- Issue
- 6-7
- Pages
- 735-749
- ISSN
- 0003-6811 (ISSN-L)
- 1563-504X
- OpenAlex
- W2040931829
- Cited by
- 785
- References
- 0
- FWCI
- 5.53
- Type
- journal article
- Language
- en
- Open access
- closed
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- Brown, R. M., & Salo, M. (2006). Identifiability at the boundary for first-order terms. Applicable Analysis. https://doi.org/10.1080/00036810600603377
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