Motivated by the question [Relationship between the vortex filament equation and the cubic Schrödinger equation](https://mathoverflow.net/questions/331614/relationship-between-the-vortex-filament-equation-and-the-cubic-schr%C3%B6dinger-equa), 
I'd like to ask the following: 


Where can I find a reference on wellposedness results for the cubic Schödinger equation?



Wellposedness results for the cubic Schödinger equation
There is quite an extensive literature on this topic:


[On the one-dimensional cubic nonlinear Schrödinger equation](https://arxiv.org/abs/1007.2073) (2010)


[Global well-posedness of the cubic nonlinear Schrödinger equation on compact manifolds without boundary](https://arxiv.org/abs/1008.2826) (2010)


[Almost sure well-posedness of the cubic nonlinear Schrödinger equation](https://arxiv.org/abs/0904.2820) (2009)


[Global well-posedness for cubic nonlinear Schrödinger equation](https://arxiv.org/abs/0912.4642) (2009)


[Unconditional Uniqueness Results for the cubic Nonlinear Schrödinger Equation](https://arxiv.org/abs/1804.10631) (2018)


