Geodesic
Asymptotics of the scattering operator for the wave equation in a singularly perturbed domain
Sbornik. Mathematics, Tome 212 (2021) no. 10, pp. 1436-1470 Cet article a éte moissonné depuis la source Math-Net.Ru

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A family of Cauchy-Dirichlet problems for the wave equations in unbounded domains $\Lambda_{\varepsilon}$ is considered (here $\varepsilon\geqslant 0$ is a small parameter); a scattering operator $\mathbb{S}_{\varepsilon}$ is associated with each domain $\Lambda_\varepsilon$. For $\varepsilon>0$ the boundaries of $\Lambda_{\varepsilon}$ are smooth, whilw the boundary of the limit domain $\Lambda_{0}$ contains a conical point. The asymptotics of $\mathbb{S}_{\varepsilon}$ as $\varepsilon\to 0$ is determined. Bibliography: 11 titles.
Keywords: wave equation, singularly perturbed domains, scattering operator. 
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D. V. Korikov. Asymptotics of the scattering operator for the wave equation in a singularly perturbed domain. Sbornik. Mathematics, Tome 212 (2021) no. 10, pp. 1436-1470. http://geodesic.mathdoc.fr/item/SM_2021_212_10_a3/

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