Increasing stability in acoustic and elastic inverse source problems

No Thumbnail Available
Issue Date
2020-10-22
Embargo End Date
Authors
Entekhabi, Mozhgan (Nora)
Isakov, Victor
Advisor
Citation

Mozhgan Entekhabi and Victor Isakov. 2020. Increasing Stability in Acoustic and Elastic Inverse Source Problems. SIAM Journal on Mathematical Analysis 2020 52:5, 5232-5256

Abstract

We study increasing stability in the inverse scattering source problem for the Helmholtz equation and the classical Lamé system in the three dimensional space from boundary data at multiple wave numbers. As additional data for source identification we use pressure or displacement at the boundary of the reference domain which are natural and minimal data. By using the Fourier transform with respect to the wave numbers, explicit bounds for analytic continuation, Huygens principle, and sharp bounds for initial boundary value problems, increasing (with larger wave number intervals) stability estimates are obtained.

Table of Content
Description
Click on the DOI link to access the article (may not be free).
publication.page.dc.relation.uri
DOI