Recovery of L p-potential in the plane
An inverse problem for the two-dimensional Schrödinger equation with Lp-potential, p>1, is considered. Using the dbar-method, the potential is recovered from the Dirichlet-to-Neumann map on the boundary of a domain containing the support of the potential. We do not assume that the potential is sm...
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| Format: | article |
| Language: | eng |
| Published: |
2017
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| Online Access: | http://hdl.handle.net/10773/18431 |
| Country: | Portugal |
| Oai: | oai:ria.ua.pt:10773/18431 |
| Summary: | An inverse problem for the two-dimensional Schrödinger equation with Lp-potential, p>1, is considered. Using the dbar-method, the potential is recovered from the Dirichlet-to-Neumann map on the boundary of a domain containing the support of the potential. We do not assume that the potential is small or that the Faddeev scattering problem does not have exceptional points. The paper contains a new estimate on the Faddeev Green function that immediately implies the absence of exceptional points near the origin and infinity when the potential v belongs to Lp. |
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