A logarithmic estimate for the inverse source scattering problem with attenuation in a two-layered medium-Reference-Cited by-同舟云学术

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A logarithmic estimate for the inverse source scattering problem with attenuation in a two-layered medium

Published:2020-08-01 Issue:4 Volume:28 Page:489-498
ISSN:1569-3945
Container-title:Journal of Inverse and Ill-posed Problems
language:
Short-container-title:

Author:

Entekhabi Mozhgan N.¹,Gunaratne Ajith¹

Affiliation:

1. Department of Mathematics, Florida A&M University, Tallahassee, FL 32307, USA

Abstract

AbstractThe paper aims a logarithmic stability estimate for the inverse source problem of the one-dimensional Helmholtz equation with attenuation factor in a two layer medium. We establish a stability by using multiple frequencies at the two end points of the domain which contains the compact support of the source functions.

Funder

National Science Foundation

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/jiip-2019-0025/pdf

Reference44 articles.

1. Increasing stability for the inverse source scattering problem with multi-frequencies;Inverse Probl. Imaging,2017

2. Acoustic source identification using multiple frequency information;Inverse Problems,2009

3. Subspaces of stability in the Cauchy problem for the Helmholtz equation;Methods Appl. Anal.,2011

4. Increasing stability in acoustic and elastic inverse source problems;SIAM. J. Math. Anal.

5. Stability on the one-dimensional inverse source scattering problem in a two-layered medium;Appl. Anal.,2019

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