35 citations · 36 across the 2 of their papers we have counts for
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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{…
Maximal Speed of Quantum Propagation
Jack Arbunich, Fabio Pusateri, Israel Michael Sigal +1
For Schroedinger equations with both time-independent and time-dependent Kato potentials, we give a simple proof of the maximal speed bound. The latter states that the probability…
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…