Dynamics of the focusing 3D cubic NLS with slowly decaying potential
نویسندگان
چکیده
In this paper, we consider a 3d cubic focusing nonlinear Schrödinger equation (NLS) with slowly decaying potentials. Adopting the variational method of Ibrahim-Masmoudi-Nakanishi [12] , obtain condition for scattering. It is actually sharp in some sense since solution will blow up if it's false. The proof blow-up part relies on Du-Wu-Zhang [6] .
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2022
ISSN: ['0022-247X', '1096-0813']
DOI: https://doi.org/10.1016/j.jmaa.2021.125653