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Citation:

Brander, T., Kar, M., & Salo, M. (2015). Enclosure method for the p-Laplace equation. Inverse Problems, 31 (4), 045001. doi:10.1088/0266-5611/31/4/045001 Retrieved from http://arxiv.org/abs/1410.4048

Title: | Enclosure method for the p-Laplace equation |

Author: | Brander, Tommi; Kar, Manas; Salo, Mikko |

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. |

Publisher: | Institute of Physics Publishing Ltd.; Institute of Physics |

Date: | 2015 |

Belongs to series: | Inverse Problems |

ISSN: | 0266-5611 Search the Publication Forum |

Subjects: | enclosure method Calderón problem p-Laplace equation |

Rights: | © 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. |

Rights: | http://iopscience.iop.org/info/page/openaccess |

DOI: | 10.1088/0266-5611/31/4/045001 |

Permanent link to this item: http://urn.fi/URN:NBN:fi:jyu-201503041419

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