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

Entekhabi, Mozhgan; Gunaratne, Ajith

doi:10.48550/arxiv.1903.03475

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Cited by 2 publications

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“…Due to the significant applications, these problems have been attracted considerable attention. These kinds of problems have been extensively investigated by many researchers such as In the paper [2,4,7,8,10,11,12,15,16,17,19,20] and [21]. It is worth mentioning that this type of problems has also application in important system such classical elasticity system and Maxwell system.…”

Section: Introduction and Formulation Of The Problemmentioning

confidence: 99%

Stability Analysis for the Helmholtz Equation with Many Frequencies

Sohrabi

2020

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This paper concerns the inverse source problem for the time-harmonic wave equation in a one dimensional domain. The goal is to determine the source function from the boundary measurements. The problem is challenging due to complexity of the Green's function for the Helmholtz equation. Our main result is a logarithmic estimate consists of two parts: the data discrepancy and the high frequency tail.

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Section: Introduction and Formulation Of The Problemmentioning

confidence: 99%

Stability Analysis for the Helmholtz Equation with Many Frequencies

Sohrabi

2020

Preprint

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show abstract

“…Because of the wide applications, these problems have being attracted considerable attention. These kinds of problems have been extensively investigated by many researchers (see, for example, [1,5,6,7,8,9,10,14,15,16,18,19,20]). We also note that these type of problem and technique can apply to systems.…”

Section: Introduction and Statement Of Problemmentioning

confidence: 99%