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    Recovering an obstacle using integral equations

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    Type
    Article
    Authors
    Rundell, William
    KAUST Grant Number
    KUS-CI-016-04
    Date
    2009-05-14
    Online Publication Date
    2009-05-14
    Print Publication Date
    2009
    Permanent link to this record
    http://hdl.handle.net/10754/599470
    
    Metadata
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    Abstract
    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.
    Citation
    Rundell W (2009) Recovering an obstacle using integral equations. IPI 3: 319–332. Available: http://dx.doi.org/10.3934/ipi.2009.3.319.
    Sponsors
    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.
    Publisher
    American Institute of Mathematical Sciences (AIMS)
    Journal
    Inverse Problems & Imaging
    DOI
    10.3934/ipi.2009.3.319
    ae974a485f413a2113503eed53cd6c53
    10.3934/ipi.2009.3.319
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