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Analytic extensions and Cauchy-type inverse problems on annular domains. I: theoretical aspects and stability results

Abstract : We consider the Cauchy issue of recovering boundary values on the inner circle of a two-dimensional annulus from available overdetermined data on the outer circle, for solutions to the Laplace equation. Using tools from complex analysis, Hardy classes and approximation, we establish stability properties and error estimates, as well as a recovery scheme, illustrated by some numerical computations.
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https://hal.inria.fr/inria-00070601
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Submitted on : Friday, May 19, 2006 - 8:58:47 PM
Last modification on : Wednesday, October 28, 2020 - 12:10:04 PM
Long-term archiving on: : Sunday, April 4, 2010 - 9:33:31 PM

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  • HAL Id : inria-00070601, version 1

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Amel Ben Abda, Juliette Leblond, Moncef Mahjoub, Jonathan R. Partington. Analytic extensions and Cauchy-type inverse problems on annular domains. I: theoretical aspects and stability results. [Research Report] RR-5402, INRIA. 2006, pp.27. ⟨inria-00070601⟩

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