Recovering an obstacle using integral equations

William Rundell

Research output: Contribution to journalArticlepeer-review


We consider the inverse problem of recovering the shape, location and surface properties of an object where the surrounding medium is both conductive and homogeneous and we measure Cauchy data on an accessible part of the exterior boundary. It is assumed that the physical situation is modelled by harmonic functions and the boundary condition on the obstacle is one of Dirichlet type. The purpose of this paper is to answer some of the questions raised in a recent paper that introduced a nonlinear integral equation approach for the solution of this type of problem.
Original languageEnglish (US)
Pages (from-to)319-332
Number of pages14
JournalInverse Problems and Imaging
Issue number2
StatePublished - May 14 2009
Externally publishedYes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUS-CI-016-04
Acknowledgements: This research was partially supported by the National Science Foundation under grant DMS-0715060 and by the King Abdullah University of Science and Technology (KAUST) under awardKUS-CI-016-04.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.


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