Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415063 | Journal of Functional Analysis | 2016 | 35 Pages |
Abstract
In this paper we address the uniqueness issue in the classical Robin inverse problem on a Lipschitz domain ΩâRn, with Lâ Robin coefficient, L2 Neumann data and conductivity of class W1,r(Ω), r>n. We show that uniqueness of the Robin coefficient on a subpart of the boundary, given Cauchy data on the complementary part, does hold in dimension n=2 but needs not hold in higher dimension. We also raise on open issue on harmonic gradients which is of interest in this context.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Laurent Baratchart, Laurent Bourgeois, Juliette Leblond,