Radiating and non-radiating sources in elasticity
Analysis of PDEs
2018-12-05 v2
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.
Cite
@article{arxiv.1807.07225,
title = {Radiating and non-radiating sources in elasticity},
author = {Eemeli Blåsten and Yi-Hsuan Lin},
journal= {arXiv preprint arXiv:1807.07225},
year = {2018}
}
Comments
17 pages