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The asymptotic behaviour of weak solutions to the forward problem of electrical impedance tomography on unbounded three‐dimensional domains
Author(s) -
Lukaschewitsch Michael,
Maass Peter,
Pidcock Michael,
Sebu Cristiana
Publication year - 2008
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1031
Subject(s) - electrical impedance tomography , mathematics , electrical impedance , point (geometry) , function (biology) , mathematical analysis , calculus (dental) , geometry , physics , medicine , dentistry , evolutionary biology , biology , quantum mechanics
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.