An inverse problem for the p-Laplacian
Duration: 38 mins 38 secs
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About this item
| Description: |
Salo, M (University of Helsinki)
Tuesday 02 August 2011, 14:45-15:30 |
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| Created: | 2011-08-04 13:49 | ||||
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| Collection: | Inverse Problems | ||||
| Publisher: | Isaac Newton Institute | ||||
| Copyright: | Salo, M | ||||
| Language: | eng (English) | ||||
| Credits: |
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| Abstract: | 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 Jyväskylä). |
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