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

2019/03/08 by Entekhabi, Mozhgan Nora, Gunaratne, Ajith
#31A15 #33C10 #35B60 #35J05 #35R30 #76Q05 #78A46 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1903.03475

Abstract

The 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.

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