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The asymptotic behaviour of weak solutions to the forward problem of electrical impedance tomography on unbounded three‐dimensional domains |
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| Authors: | Michael Lukaschewitsch Peter Maass Michael Pidcock Cristiana Sebu |
| Affiliation: | 1. Lufthansa German Airlines, FRA IB/D, D‐60546 Frankfurt‐Airport, U.K.;2. Centre for Industrial Mathematics, University of Bremen, D‐28359 Bremen, Germany;3. Department of Mathematical Sciences, Oxford Brookes University, Oxford OX33 1HX, U.K. |
| Abstract: | The forward problem of electrical impedance tomography on unbounded domains can be studied by introducing appropriate function spaces for this setting. In this paper we derive the point‐wise asymptotic behaviour of weak solutions to this problem in the three‐dimensional case. Copyright © 2008 John Wiley & Sons, Ltd. |
| Keywords: | elliptic partial differential equations electrical impedance tomography forward problem unbounded domain asymptotic behaviour |