TY  - INPR
A1  - Lukaschewitsch, Michael
T1  - Geoelectrical conductivity problems on unbounded domains
N2  - 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.
T3  - NLD Preprints - 45 
Y1  - 2007
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/1352
UR  - https://nbn-resolving.org/urn:nbn:de:kobv:517-opus-14704
ER  -