Modified Scattering for the Hartree Nonlinear Schr\"odinger Equation
Abstract
We prove sharp L∞ decay and modified scattering for the Hartree nonlinear Schr\"odinger equation in dimensions 2 and 3 using the testing by wavepackets method of Ifrim and Tataru. We show that the scattering behavior happens at a regularity well below that of earlier results of Hayashi-Naumkin and Kato-Pusateri.
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