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Inverse problems for p-Laplace type equations under monotonicity assumptions
Guo, Chang-Yu
Kar, Manas
Salo, Mikko
2016
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e-ISSN
2464-8728
Abstract
We consider inverse problems for p-Laplace type equa-tions under monotonicity assumptions. In two dimensions, we show hat any two conductivities satisfying σ1 ≥ σ2 and having the same nonlinear Dirichlet-to-Neumann map must be identical. The proof is based on a monotonicity inequality and the unique continuation prin-ciple for p-Laplace type equations. In higher dimensions, where unique continuation is not known, we obtain a similar result for conductivities close to constant.
Series
Rendiconti dell'Istituto di matematica dell'Università di Trieste: an International Journal of Mathematics
48 (2016)
Publisher
EUT Edizioni Università di Trieste
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