# A boundary integral equation for Calderón's inverse conductivity problem.

Collectanea Mathematica (2006)

- Volume: 57, Issue: Extra, page 127-139
- ISSN: 0010-0757

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topAstala, Kari, and Päivärinta, Lassi. "A boundary integral equation for Calderón's inverse conductivity problem.." Collectanea Mathematica 57.Extra (2006): 127-139. <http://eudml.org/doc/41788>.

@article{Astala2006,

abstract = {Towards a constructive method to determine an L∞-conductivity from the corresponding Dirichlet to Neumann operator, we establish a Fredholm integral equation of the second kind at the boundary of a two dimensional body. We show that this equation depends directly on the measured data and has always a unique solution. This way the geometric optics solutions for the L∞-conductivity problem can be determined in a stable manner at the boundary and outside of the body.},

author = {Astala, Kari, Päivärinta, Lassi},

journal = {Collectanea Mathematica},

keywords = {Ecuaciones diferenciales elípticas; Ecuaciones integrales; Problemas inversos; Operadores de Fredholm; boundary data; complex geometric optics solutions; Dirichlet to Neumann operator; Fredholm integral equation of the second kind},

language = {eng},

number = {Extra},

pages = {127-139},

title = {A boundary integral equation for Calderón's inverse conductivity problem.},

url = {http://eudml.org/doc/41788},

volume = {57},

year = {2006},

}

TY - JOUR

AU - Astala, Kari

AU - Päivärinta, Lassi

TI - A boundary integral equation for Calderón's inverse conductivity problem.

JO - Collectanea Mathematica

PY - 2006

VL - 57

IS - Extra

SP - 127

EP - 139

AB - Towards a constructive method to determine an L∞-conductivity from the corresponding Dirichlet to Neumann operator, we establish a Fredholm integral equation of the second kind at the boundary of a two dimensional body. We show that this equation depends directly on the measured data and has always a unique solution. This way the geometric optics solutions for the L∞-conductivity problem can be determined in a stable manner at the boundary and outside of the body.

LA - eng

KW - Ecuaciones diferenciales elípticas; Ecuaciones integrales; Problemas inversos; Operadores de Fredholm; boundary data; complex geometric optics solutions; Dirichlet to Neumann operator; Fredholm integral equation of the second kind

UR - http://eudml.org/doc/41788

ER -

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