Spectra of "fattened" open book structures Academic Article uri icon

abstract

  • 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.

publication date

  • January 1, 2019 11:11 AM