BooksecrCollected Volumepp. 161–175

Twisted waveguide with a Neumann window

  • Philippe Briet

    Université de Toulon, La Garde, France
  • Hiba Hammedi

    Université de Toulon et du Var, La Garde, France
Twisted waveguide with a Neumann window cover
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Abstract

This paper is concerned with the study of the existence/non-existence of the discrete spectrum of the Laplace operator on a domain of R3\mathbb R ^3 which consists in a twisted tube. This operator is defined by means of mixed boundary conditions. Here we impose Neumann Boundary conditions on a bounded open subset of the boundary of the domain (the Neumann window) and Dirichlet boundary conditions elsewhere.