Twisted waveguide with a Neumann window

Philippe Briet; Hiba Hammedi

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arXiv · 1602.00929

Twisted waveguide with a Neumann window

Philippe Briet·Hiba Hammedi

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Abstract

This paper is concerned with the study of theexistence/non-existence of the discrete spectrum of the Laplaceoperator on a domain of $\mathbb R ^3$ which consists in atwisted tube. This operator is defined by means of mixed boundaryconditions. Here we impose Neumann Boundary conditions on abounded open subset of the boundary of the domain (the Neumannwindow) and Dirichlet boundary conditions elsewhere.

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BibTeX RIS

Philippe Briet, Hiba Hammedi. 2016-02-02. Twisted waveguide with a Neumann window. https://arxiv.org/abs/1602.00929

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