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Long-Range Scattering for a Critical Homogeneous Type Nonlinear Schrödinger Equation with Time-Decaying Harmonic Potentials
This paper is concerned with the final state problem for the homogeneous type nonlinear Schr\"odinger equation with time-decaying harmonic potential. The nonlinearity has the critical order and is not necessarily the form of a polynomial. In the case of the gauge-invariant power-type nonlinearity, the first author proves that the equation …