Abstract
This contribution describes the possibility of extending to the elastic wave equation with the physical no stress boundary condition, the classical results on stable and unstable boundary observation. The proofs relies on one hand on the introduction of the equations satisfied by the divergence and the curl of the solution and on the other hand on the analysis of the propagation of the wave front set done mostly by Taylor[T] and Yamamoto [Y]. With these ingredients the estimates for the observation are adapted from Bardos Lebeau and Rauch [BLR].
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Bardos, C., Masrour, T., Tatout, F. (1997). Observation and Control of Elastic Waves. In: Rauch, J., Taylor, M. (eds) Singularities and Oscillations. The IMA Volumes in Mathematics and its Applications, vol 91. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1972-9_1
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DOI: https://doi.org/10.1007/978-1-4612-1972-9_1
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