Geoelectrical conductivity problems on unbounded domains
- This paper deals with the electrical conductivity problem in geophysics. It is formulated as an elliptic boundary value problem of second order for a large class of bounded and unbounded domains. A special boundary condition, the so called "Complete Electrode Model", is used. Poincaré inequalities are formulated and proved in the context of weighted Sobolev spaces, leading to existence and uniqueness statements for the boundary value problem. In addition, a parameter-to-solution operator arising from the inverse conductivity problem in medicine (EIT) and geophysics is investigated mathematically and is shown to be smooth and analytic.
Author details: | Michael Lukaschewitsch |
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URN: | urn:nbn:de:kobv:517-opus-14704 |
Publication series (Volume number): | NLD Preprints (45) |
Publication type: | Preprint |
Language: | English |
Publication year: | 1998 |
Publishing institution: | Universität Potsdam |
Release date: | 2007/07/13 |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
Zentrale und wissenschaftliche Einrichtungen / Interdisziplinäres Zentrum für Dynamik komplexer Systeme | |
DDC classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |