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math.AP2023
Maximal Speed of Quantum Propagation for the Hartree equation
Jack Arbunich, Jérémy Faupin, Fabio Pusateri +1
We prove maximal speed estimates for nonlinear quantum propagation in the context of the Hartree equation. More precisely, under some regularity and integrability assumptions on th…
math.AP2010
A new proof of long range scattering for critical nonlinear Schrödinger equations
Jun Kato, Fabio Pusateri
We present a new proof of global existence and long range scattering, from small initial data, for the one-dimensional cubic gauge invariant nonlinear Schrödinger equation, and for…