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arXiv · 2206.11012

Well-posedness of a time-harmonic elasticity problem in a half-strip

Jean-Luc Akian
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Abstract

In this paper we establish that the time-harmonic elasticity problem in a half-strip with non-homogeneous Dirichlet conditions on its boundary section and traction-free conditions on its upper and lower boundaries, has a unique weak solution when this solution is searched under the form of the sum of a linear combination of outgoing waves and an exponentialy decreasing function (in the sense of weighted Sobolev spaces).

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Jean-Luc Akian. 2022-06-22. Well-posedness of a time-harmonic elasticity problem in a half-strip. https://arxiv.org/abs/2206.11012

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