Christian Klein, Simona Nodari
Published 2020-02-10Version 1
We study a 1D nonlinear Schr{\"o}dinger equation appearing in the description of a particle inside an atomic nucleus. For various nonlinearities, the ground states are discussed and given in explicit form. Their stability is studied numerically via the time evolution of perturbed ground states. In the time evolution of general localized initial data, they are shown to appear in the long time behaviour of certain cases.
A nonlinear Schr{ö}dinger equation with fractional noise
Global well-posedness and scattering for the defocusing, $L^{2}$-critical, nonlinear Schr{ö}dinger equation when $d \geq 3$
The perturbational stability of the Schr$\ddot{o}$dinger equation
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