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Twisted waveguide with a Neumann window
[chapter]
Functional Analysis and Operator Theory for Quantum Physics
This paper is concerned with the study of the existence/non-existence of the discrete spectrum of the Laplace operator on a domain of 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. classification Primary 81Q10; Secondary 47F05. keywords Waveguide, mixed boundary conditions, twisting. * briet@univ-tln.fr, hammedi@univ-tln.fr.
doi:10.4171/175-1/8
fatcat:bbxbt6ienzdb3d37fy3dgxxbxq