41 citations · 350 across the 36 of their papers we have counts for
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math-ph2020★ 13 cited
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…
math.AP2020★ 41 cited
Quadratic Klein-Gordon equations with a potential in one dimension
Pierre Germain, Fabio Pusateri
This paper proposes a fairly general new point of view on the question of asymptotic stability of (topological) solitons. Our approach is based on the use of the distorted Fourier…
math.AP2020★ 9 cited
Bilinear estimates in the presence of a large potential and a critical NLS in 3d
Fabio Pusateri, Avy Soffer
We propose an approach to nonlinear evolution equations with large and decaying external potentials that addresses the question of controlling globally-in-time the nonlinear intera…