An inverse problem for the p-Laplacian

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• Salo, M (University of Helsinki)
• Tuesday 02 August 2011, 14:45-15:30
• Seminar Room 1, Newton Institute.

If you have a question about this talk, please contact Mustapha Amrani.

Inverse Problems

We study an inverse problem for strongly nonlinear elliptic equations modelled after the p-Laplacian. It is proved that the boundary values of a conductivity coefficient are uniquely determined by a nonlinear Dirichlet-to-Neumann map. The proofs work with the nonlinear equation directly instead of being based on linearization, and involve complex geometrical optics type solutions based on p-harmonic exponentials and certain p-harmonic functions introduced by Wolff. This is joint work with Xiao Zhong (University of Jyvskyl).

This talk is part of the Isaac Newton Institute Seminar Series series.

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