We prove uniqueness in inverse acoustic scattering in the case the density of the medium has an unbounded gradient across Σ⊆Γ=∂Ω where Ω is a bounded open subset of R3with a Lipschitz boundary. This follows from a uniqueness result in inverse scattering for Schrödinger operators with singular δ-type potential supported on the surface Γ and of strength α∈Lp(Γ), p>2.

Uniqueness in inverse acoustic scattering with unbounded gradient across Lipschitz surfaces

Posilicano, Andrea;
2018-01-01

Abstract

We prove uniqueness in inverse acoustic scattering in the case the density of the medium has an unbounded gradient across Σ⊆Γ=∂Ω where Ω is a bounded open subset of R3with a Lipschitz boundary. This follows from a uniqueness result in inverse scattering for Schrödinger operators with singular δ-type potential supported on the surface Γ and of strength α∈Lp(Γ), p>2.
2018
http://www.elsevier.com/inca/publications/store/6/2/2/8/6/8/index.htt
Acoustic equation; Inverse scattering; Schrödinger operators; Analysis
Mantile, Andrea; Posilicano, Andrea; Sini, Mourad
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11383/2074957
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