Abstract
We consider the initial value problem for a two-component system of cubic nonlinear Schrödinger equations in one space dimension. We provide a detailed lower bound estimate for the lifespan of the solution to the system, which can be computed explicitly from the initial data, the masses and the nonlinear term.
Acknowledgments
The author is grateful to Kazuki Aoki and Daisuke Sakoda for their useful conversations on this work. He also thanks the anonymous referee for reading the manuscript carefully and giving helpful comments.
Citation
Yuji Sagawa. "The lifespan of small solutions to a system of cubic nonlinear Schrödinger equations in one space dimension." SUT J. Math. 54 (2) 145 - 160, December 2018. https://doi.org/10.55937/sut/1549374093
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