Motivated by the question Relationship between the vortex filament equation and the cubic Schrödinger equation, I'd like to ask the following:
Where can I find a reference on wellposedness results for the cubic Schödinger equation?
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Sign up to join this communityMotivated by the question Relationship between the vortex filament equation and the cubic Schrödinger equation, I'd like to ask the following:
Where can I find a reference on wellposedness results for the cubic Schödinger equation?
There is quite an extensive literature on this topic:
On the one-dimensional cubic nonlinear Schrödinger equation (2010)
Almost sure well-posedness of the cubic nonlinear Schrödinger equation (2009)
Global well-posedness for cubic nonlinear Schrödinger equation (2009)
Unconditional Uniqueness Results for the cubic Nonlinear Schrödinger Equation (2018)