Journal of Inverse and Ill-posed Problems
Editor-in-Chief: Kabanikhin, Sergey I.
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Inverse problem for the Schrödinger operator in an unbounded strip
1Université de Toulouse 1, UMR 5640, Ceremath/MIP, Place Anatole, France, 31000 Toulouse, France. Email: firstname.lastname@example.org
2Université de Provence, CMI, UMR CNRS 6632, 39, rue Joliot Curie, 13453 Marseille Cedex 13, France, Université Paul Cézanne, IUT de Marseille, France. Email: email@example.com
3Université de Provence, CMI, UMR CNRS 6632, 39, rue Joliot Curie, 13453 Marseille Cedex 13, France, Université de la Méditerranée, IUT d'Aix en Provence, France. Email: firstname.lastname@example.org
Citation Information: Journal of Inverse and Ill-posed Problems. Volume 16, Issue 2, Pages 127–146, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: 10.1515/JIIP.2008.009, May 2008
- Published Online:
We consider the operator H := i∂t + ∇ . (c∇) in an unbounded strip Ω in ℝ2, where . We prove an adapted global Carleman estimate and an energy estimate for this operator. Using these estimates, we give a stability result for the diffusion coefficient c(x, y).
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