Spectra of "fattened" open book structures
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We establish convergence of spectra of Neumann Laplacian in a thin neighborhood of a branching 2D structure in 3D to the spectrum of an appropriately defined operator on the structure itself. This operator is a 2D analog of the well known by now quantum graphs. As in the latter case, such considerations are triggered by various physics and engineering applications.
author list (cited authors)
Corbin, J. E., & Kuchment, P.
complete list of authors
Corbin, James E||Kuchment, Peter