18 citations · 93 across the 21 of their papers we have counts for
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math-ph2014★ 3 cited
Scattering through a straight quantum waveguide with combined boundary conditions
Ph. Briet, J. Dittrich, E. Soccorsi
Scattering through a straight two-dimensional quantum waveguide Rx(0,d) with Dirichlet boundary conditions on (-\infty,0)x{y=0} \cup (0,\infty)x{y=d} and Neumann boundary condition…
math.SP2014★ 1 cited
Hardy inequalities in globally twisted waveguides
Philippe Briet, Hiba Hammedi, David Krejcirik
We establish various Hardy-type inequalities for the Dirichlet Laplacian in perturbed periodically twisted tubes of non-circular cross-sections. We also state conjectures about the…