@unpublished{Lukaschewitsch1998,
  author    = {Lukaschewitsch, Michael},
  title     = {Geoelectrical conductivity problems on unbounded domains},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-14704},
  year      = {1998},
  abstract  = {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. Poincar{\´e} 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.},
  language  = {en}
}