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math.AP2011★ 7 cited
Global well-posedness and scattering for the defocusing, energy -critical, nonlinear Schr{ö}dinger equation in the exterior of a convex obstacle when
Benjamin Dodson
In this paper we prove that the energy - critical nonlinear Schr{ö}dinger equation in the domain exterior to a convex obstacle is globally well - posed and scattering for initial d…
math.AP2011★ 1 cited
Global well-posedness and scattering for the mass critical nonlinear Schr{ö}dinger equation with mass below the mass of the ground state
Benjamin Dodson
In this paper we prove that the focusing, -dimensional mass critical nonlinear Schr{ö}dinger initial value problem is globally well-posed and scattering for $u_{0} \in L^{2}(\ma…