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J. Leblond, M. Mahjoub, J. R. Partington

Analytic extensions and Cauchy-type inverse problems on annular domains: stability results

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 and Hardy classes, we establish stability properties and error estimates.

Journal of Inverse and Ill-posed Problems, Walter de Gruyter

Print ISSN: 0928-0219
Volume: 14, 04/2006
Pages: 189 - 204

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