Twisted waveguide with a Neumann window [chapter]

Philippe Briet, Hiba Hammedi
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. *,
doi:10.4171/175-1/8 fatcat:bbxbt6ienzdb3d37fy3dgxxbxq