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Mathematics > Analysis of PDEs

arXiv:1807.07225 (math)
[Submitted on 19 Jul 2018 (v1), last revised 16 Oct 2018 (this version, v2)]

Title:Radiating and non-radiating sources in elasticity

Authors:Eemeli Blåsten, Yi-Hsuan Lin
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Abstract:In this work, we study the inverse source problem of a fixed frequency for the Navier's equation. We investigate that nonradiating external forces. If the support of such a force has a convex or non-convex corner or edge on their 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: The energy identity and new type exponential solutions for the Navier's equation.
Comments: 17 pages
Subjects: Analysis of PDEs (math.AP)
Cite as: arXiv:1807.07225 [math.AP]
  (or arXiv:1807.07225v2 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.1807.07225
Related DOI: https://doi.org/10.1088/1361-6420/aae99e

Submission history

From: Yi-Hsuan Lin [view email]
[v1] Thu, 19 Jul 2018 03:18:57 UTC (17 KB)
[v2] Tue, 16 Oct 2018 10:56:53 UTC (18 KB)
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