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math.AP2020★ 11 cited
Global well-posedness for the cubic nonlinear Schr{ö}dinger equation with initial lying in -based Sobolev spaces
Benjamin Dodson, Avraham Soffer, Thomas Spencer
In this paper we continue our study [DSS20] of the nonlinear Schrödinger equation (NLS) with bounded initial data which do not vanish at infinity. Local well-posedness on $\mathbb{…
math.AP2020★ 18 cited
The nonlinear Schrodinger equation on Z and R with bounded initial data: examples and conjectures
Benjamin Dodson, Avraham Soffer, Thomas Spencer
We study the nonlinear Schrödinger equation (NLS) with bounded initial data which does not vanish at infinity. Examples include periodic, quasi-periodic and random initial data. On…