Abstract
We consider the initial value problem for systems of cubic nonlinear Schrödinger equations in one space dimension with small initial data. We present a structural condition on the nonlinearity under which the solution exists globally in time and behaves like a free solution at infinity. This condition corresponds to an NLS version of the \emph{null condition}.
Citation
Sunagawa Hideaki. Kawahara Yuichiro. "Remarks on global behavior of solutions to nonlinear Schrödinger equations." Proc. Japan Acad. Ser. A Math. Sci. 82 (8) 117 - 122, November 2006. https://doi.org/10.3792/pjaa.82.117
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