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math.AP2013★ 1 cited
On 2D NLS on non-trapping exterior domains
Farah Abou Shakra
Global existence and scattering for the nonlinear defocusing Schrödinger equation in 2 dimensions are known for domains exterior to star-shaped obstacles and for nonlinearities tha…
math.AP2012★ 1 cited
Asymptotics of the critical non-linear wave equation for a class of non star-shaped obstacles
Farah Abou Shakra
Scattering for the energy critical non-linear wave equation for domains exterior to non trapping obstacles in 3+1 dimension is known for the star-shaped case. In this paper, we ext…