Uniqueness in inverse acoustic scattering with unbounded gradient across Lipschitz surfaces

被引：3

作者：

Mantile, Andrea ^{[1
]}

Posilicano, Andrea ^{[2
]}

Sini, Mourad ^{[3
]}

机构：

[1] Univ Reims, Lab Math, CNRS, FR3399, Moulin Housse BP 1039, F-51687 Reims, France

[2] Univ Insubria, DiSAT, Sez Matemat, Via Valleggio 11, I-22100 Como, Italy

[3] Austrian Acad Sci, RICAM, Altenbergerstr 69, A-4040 Linz, Austria

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2018年 / 265卷 / 09期

基金：

奥地利科学基金会;

关键词：

Inverse scattering; Acoustic equation; Schrodinger operators; GLOBAL UNIQUENESS; CONDUCTIVITIES; OPERATORS; EQUATION; FORMULA;

D O I：

10.1016/j.jde.2018.05.029

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove uniqueness in inverse acoustic scattering in the case the density of the medium has an unbounded gradient across Sigma subset of Gamma = partial derivative Omega, where Omega is a bounded open subset of R-3 with a Lipschitz boundary. This follows from a uniqueness result in inverse scattering for Schrodinger operators with singular delta-type potential supported on the surface Gamma and of strength alpha is an element of L-p (Gamma), p > 2. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：4101 / 4132

页数：32

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