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

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arxiv 2206.11012 v2 pith:EDPR5R77 submitted 2022-06-22 math.AP math-phmath.MP

classification math.APmath-phmath.MP
keywords conditionselasticityhalf-stripproblemsolutiontime-harmonicboundariesboundary
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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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