Enclosure method for the p-Laplace equation
Abstract
Abstract. We study the enclosure method for the p-Calderon
problem, which is a nonlinear generalization of the inverse conductivity problem due to Calderon that involves the p-Laplace equation. The method allows one to reconstruct the convex hull of an inclusion in the nonlinear model by using exponentially growing solutions introduced by Wolff. We justify this method for the penetrable obstacle case, where the inclusion is modelled as a jump in the conductivity. The result is based on a monotonicity inequality
and the properties of the Wolff solutions.
Main Authors
Format
Articles
Research article
Published
2015
Series
Subjects
Publication in research information system
Publisher
Institute of Physics Publishing Ltd.; Institute of Physics
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-201503041419Use this for linking
Review status
Peer reviewed
ISSN
0266-5611
DOI
https://doi.org/10.1088/0266-5611/31/4/045001
Language
English
Published in
Inverse Problems
Citation
- Brander, T., Kar, M., & Salo, M. (2015). Enclosure method for the p-Laplace equation. Inverse Problems, 31(4), Article 045001. https://doi.org/10.1088/0266-5611/31/4/045001
License
Copyright© Institute of Physics Publishing Ltd. and Institute of Physics 2015. This is a final draft version of an article whose final and definitive form has been published by Institute of Physics Publishing Ltd. and Institute of Physics.