Recovery of coefficients for a weighted p-Laplacian perturbed by a linear second order term

This paper considers the inverse boundary value problem for the equation \(\nabla\cdot(\sigma\nabla u+a|\nabla u|^{p-2}\nabla u)=0\). We give a procedure for the recovery of the coefficients \(\sigma\) and \(a\) from the corresponding Dirichlet-to-Neumann map, under suitable regularity and elliptici...

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Bibliographic Details
Published in:arXiv.org 2020-01
Main Authors: Cârstea, Cătălin I, Kar, Manas
Format: Article
Language:English
Subjects:
Boundary value problems
Dirichlet problem
Ellipticity
Recovery
Online Access:Get full text
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Summary:This paper considers the inverse boundary value problem for the equation \(\nabla\cdot(\sigma\nabla u+a|\nabla u|^{p-2}\nabla u)=0\). We give a procedure for the recovery of the coefficients \(\sigma\) and \(a\) from the corresponding Dirichlet-to-Neumann map, under suitable regularity and ellipticity assumptions.
ISSN:2331-8422
DOI:10.48550/arxiv.2001.01436