Radiating and non-radiating sources in elasticity
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
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Inverse ProblemsDate
2019Copyright
© 2018 IOP Publishing Ltd
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.
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Institute of PhysicsISSN Search the Publication Forum
0266-5611Keywords
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https://converis.jyu.fi/converis/portal/detail/Publication/33537213
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Research Council of FinlandFunding program(s)
Academy Project, AoFAdditional information about funding
The authors appreciate Professor Ikehata and the anonymous referees for some useful comments to improve this work. Y-H Lin is partially supported by the Academy of Finland, under the project number 309963.License
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