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An inverse stability result for non-compactly supported potentials by one arbitrary lateral Neumann observation

Abstract : In this paper we investigate the inverse problem of determining the time independent scalar potential of the dynamic Schrödinger equation in an infinite cylindrical domain, from partial measurement of the solution on the boundary. Namely, if the potential is known in a neighborhood of the boundary of the spatial domain, we prove that it can be logarithmic stably determined in the whole waveguide from a single observation of the solution on any arbitrary strip-shaped subset of the boundary.
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Submitted on : Friday, July 24, 2015 - 5:05:37 PM
Last modification on : Tuesday, January 11, 2022 - 5:56:05 PM
Long-term archiving on: : Sunday, October 25, 2015 - 11:24:19 AM

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M Bellassoued, Y Kian, Eric Soccorsi. An inverse stability result for non-compactly supported potentials by one arbitrary lateral Neumann observation. Journal of Differential Equations, Elsevier, 2016, 260 (10), pp.7535-7562. ⟨10.1016/j.jde.2016.01.033⟩. ⟨hal-01180254⟩

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