Recovering an obstacle using integral equations | Zendy

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Recovering an obstacle using integral equations

Author(s) -

William Rundell

Publication year - 2009

Publication title -

inverse problems and imaging

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.755

H-Index - 40

eISSN - 1930-8345

pISSN - 1930-8337

DOI - 10.3934/ipi.2009.3.319

Subject(s) - obstacle , obstacle problem , mathematical analysis , mathematics , nonlinear system , dirichlet boundary condition , cauchy distribution , boundary (topology) , boundary value problem , dirichlet distribution , dirichlet integral , type (biology) , homogeneous , measure (data warehouse) , inverse problem , computer science , dirichlet's energy , physics , ecology , quantum mechanics , combinatorics , database , political science , law , biology

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

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