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- W2949781014 abstract "We obtain the local well-posedness of the one dimensional cubic nonlinear Schrodinger Equation for initial data in the modulation space $M_{2, p}$ for all $2le p<infty$, which covers all the subcritical cases from the viewpoint of scaling. Moreover, in order to approach the endpoint space $M_{2,infty}$, we will prove the almost global well-posedness in some Orlicz-type space, which is a natural generalisation of $M_{2,p}$ for large $p$. The new ingredient is an endpoint version of the two dimensional restriction estimate." @default.
- W2949781014 created "2019-06-27" @default.
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- W2949781014 date "2014-11-03" @default.
- W2949781014 modified "2023-10-16" @default.
- W2949781014 title "On the 1D Cubic Nonlinear Schrodinger Equation in an Almost Critical Space" @default.
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- W2949781014 doi "https://doi.org/10.48550/arxiv.1411.0503" @default.
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