Increasing stability of the inverse source problem for one dimensional domain

Here we are investigating the one dimensional inverse source problem for Helmholtz equation where the source function is compactly supported in our domain. We show that increasing stability possible using multi-frequency wave at the two end points. Our main result is a stability estimate consists of...

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Bibliographic Details
Main Authors Almutairi, Shahah, Gunaratne, Ajith
Format Journal Article
LanguageEnglish
Published 20.03.2019
Subjects
Mathematics - Analysis of PDEs
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Summary:Here we are investigating the one dimensional inverse source problem for Helmholtz equation where the source function is compactly supported in our domain. We show that increasing stability possible using multi-frequency wave at the two end points. Our main result is a stability estimate consists of two parts: the data discrepancy and the high frequency tail.
DOI:10.48550/arxiv.1903.10341