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math.AP2021★ 8 cited
Scattering and uniform in time error estimates for splitting method in NLS
Rémi Carles, Chunmei Su
We consider the nonlinear Schr{ö}dinger equation with a defocusing nonlinearity which is mass-(super)critical and energy-subcritical. We prove uniform in time error estimates for t…
math.AP2021★ 8 cited
Nonuniqueness and nonlinear instability of Gaussons under repulsive harmonic potential
Rémi Carles, Chunmei Su
We consider the Schr{ö}dinger equation with a nondispersive logarithmic nonlinearity and a repulsive harmonic potential. For a suitable range of the coefficients, there exist two p…