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Global well-posedness and scattering in weighted space for nonlinear Schrödinger equations below the Strauss exponent without gauge-invariance
Masaki Kawamoto, Satoshi Masaki, Hayato Miyazaki
In this paper, we consider the nonlinear Schrödinger equation (NLS) with a general homogeneous nonlinearity in dimensions up to three. We assume that the degree (i.e., power) of th…
math.AP2024
Modified scattering operator for nonlinear Schrödinger equations with time-decaying harmonic potentials
Masaki Kawamoto, Hayato Miyazaki
This paper is concerned with nonlinear Schrödinger equations with a time-decaying harmonic potential. The nonlinearity is gauge-invariant of the long-range critical order. In [24]…