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

preprint2020arXivOpen access

Abstract

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

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