41 citations · 350 across the 36 of their papers we have counts for
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math.AP2012★ 21 cited
Nonlinear fractional Schrödinger equations in one dimension
Alexandru D. Ionescu, Fabio Pusateri
We consider the question of global existence of small, smooth, and localized solutions of a certain fractional semilinear cubic NLS in one dimension, $$i\partial_t u - Λu = c_0{|u|…
math.DS2012★ 11 cited
Analytic Lagrangian tori for the planetary many-body problem
Luigi Chierchia, Fabio Pusateri
In 2004, Féjoz [Démonstration du 'théoréme d'Arnold' sur la stabilité du système planétaire (d'après M. Herman). Ergod. Th. & Dynam. Sys. 24(5) (2004), 1521-1582], completing inves…
math.AP2012★ 26 cited
Scattering for the Zakharov system in 3 dimensions
Zaher Hani, Fabio Pusateri, Jalal Shatah
We prove global existence and scattering for small localized solutions of the Cauchy problem for the Zakharov system in 3 space dimensions. The wave component is shown to decay poi…