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Spectral study of the Laplace-Beltrami operator arising in the problem of acoustic wave scattering by a quarter-plane
(Oxford University PressQuarterly Journal of Mechanics and Applied Mathematics, 2016)
The Laplace-Beltrami operator on a sphere with a cut arises when considering
the problem of wave scattering by a quarter-plane. Recent methods developed
for sound-soft (Dirichlet) and sound-hard (Neumann) quarter-planes ...