T. A. Shaposhnikova

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We obtain estimates for convergence rates of the eigenelements (λε, uε) for the Laplace operator in a domain Ω ⊂ R3 periodically perforated along a plane γ = Ω ∩ {x1 = 0}. The boundary conditions are of the Dirichlet type on ∂Ω and of the Robin type, involving a large parameter O(ε−κ), on the boundary of the cavities. The small parameter ε denotes the(More)
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