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

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

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Bibliographic Details
Published in:Inverse problems 2021-01, Vol.37 (1), p.15013
Main Authors: Cârstea, Cătălin I, Kar, Manas
Format: Article
Language:English
Subjects:
inverse boundary value problems
p-Laplacian
quasilinear elliptic equations
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Summary:This paper considers the inverse boundary value problem for the equation ∇ ⋅ (σ∇u + a|∇u|p−2∇u) = 0. We give a procedure for the recovery of the coefficients σ and a from the corresponding Dirichlet-to-Neumann map, under suitable regularity and ellipticity assumptions.
ISSN:0266-5611
1361-6420
DOI:10.1088/1361-6420/abcea1