Abstract
Let G be a domain in \(\mathbb R^m\) with compact closure \(\overline {G}\), m ≥ 2. The boundary ∂G may contain nonintersecting closed smooth “edges” of various dimensions. In the cylinder {(x, t) : x ∈ G, −∞ < t < +∞}, we study the equations of elastodynamics. The Dirichlet condition (displacements) or the Neumann condition (stresses) is given on the boundary \(\partial G\times \mathbb R\) of the cylinder. The goal is to describe the behavior of solutions near edges.
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Korikov, D., Plamenevskii, B., Sarafanov, O. (2021). Elastodynamics in Domains with Edges. In: Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains. Operator Theory: Advances and Applications(), vol 284. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-65372-9_4
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DOI: https://doi.org/10.1007/978-3-030-65372-9_4
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