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.

Download full text files

Export metadata

Additional Services

Search Google Scholar Statistics
Metadaten
Author details:Michael Lukaschewitsch
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
Accept ✔
This website uses technically necessary session cookies. By continuing to use the website, you agree to this. You can find our privacy policy here.