A1 Journal article (refereed)
Radiating and non-radiating sources in elasticity (2019)

Blåsten, E., & Lin, Y.-H. (2019). Radiating and non-radiating sources in elasticity. Inverse Problems, 35(1), 015005. https://doi.org/10.1088/1361-6420/aae99e

JYU authors or editors

Publication details

All authors or editors: Blåsten, Eemeli; Lin, Yi-Hsuan

Journal or series: Inverse Problems

ISSN: 0266-5611

eISSN: 1361-6420

Publication year: 2019

Volume: 35

Issue number: 1

Pages range: 015005

Publisher: Institute of Physics

Publication country: United Kingdom

Publication language: English

DOI: https://doi.org/10.1088/1361-6420/aae99e

Publication open access: Not open

Publication channel open access:

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/66413

Publication is parallel published: https://arxiv.org/abs/1807.07225

Abstract

In this work, we study the inverse source problem of a fixed frequency for the Navier equation. We investigate non-radiating external forces. If the support of such a force has a convex or non-convex corner or edge on its boundary, the force must be vanishing there. The vanishing property at corners and edges holds also for sufficiently smooth transmission eigenfunctions in elasticity. The idea originates from the enclosure method: an energy identity and a new type of exponential solution for the Navier equation.

Keywords: inverse problems

Free keywords: inverse source problems; elastic waves; Navier equation; exponential solutions, transmission eigenfunctions

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Ministry reporting: Yes

Reporting Year: 2019

JUFO rating: 2