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Local analytic
regularity in the linearized Calderón problem
Johannes Sjöstrand and Gunther Uhlmann |
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Vol. 9 (2016), No. 3, 515–544
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Abstract |
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We show that the linearized local Dirichlet-to-Neumann map at a real-analytic potential for measurements made at an analytic open subset of the boundary is injective. |
Keywords
Calderón problem, linearization, partial data, analytic
microlocal analysis
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Mathematical Subject Classification 2010
Primary: 35R30
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Milestones
Received: 17 December 2013
Revised: 10 August 2015
Accepted: 7 September 2015
Published: 17 June 2016
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Authors |
| Johannes Sjöstrand | ||
| Institut de Mathématiques de
Bourgogne Université de Bourgogne UMR 5584 du CNRS 21078 Dijon France |
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| Gunther Uhlmann | ||
| Department of Mathematics University of Washington Seattle, WA 98195-4350 United States |
Institute for Advanced Study Hong Kong University of Science and Technology Clear Water Bay Kowloon Hong Kong |
Department of Mathematics and
Statistics University of Helsinki P.O. Box 68 FI-00014 Finland |
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