346 citations · 755 across the 17 of their papers we have counts for
18 papers
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…
On the dynamics of finite temperature trapped Bose gases
Avy Soffer, Minh-Binh Tran
The system that describes the dynamics of a Bose-Einstein Condensate (BEC) and the thermal cloud at finite temperature consists of a nonlinear Schrodinger (NLS) and a quantum Boltz…
Soliton in a Well. Dynamics and Tunneling
V. Fleurov, A. Soffer
We derive the leading order radiation through tunneling of an oscillating soliton in a well. We use the hydrodynamic formulation with a rigorous control of the errors for finite ti…
Multiscale time averaging, Reloaded
Shmuel Fishman, Avy Soffer
We develop a rigorously controlled multi-time scale averaging technique; the averaging is done on a finite time interval, properly chosen, and then, via iterations and normal form…