An inverse problem for the pLaplacian
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Inverse Problems
We study an inverse problem for strongly nonlinear elliptic equations modelled after the pLaplacian. It is proved that the boundary values of a conductivity coefficient are uniquely determined by a nonlinear DirichlettoNeumann map. The proofs work with the nonlinear equation directly instead of being based on linearization, and involve complex geometrical optics type solutions based on pharmonic exponentials and certain pharmonic 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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