191 citations · 708 across the 83 of their papers we have counts for
5 papers · 1 filter
Probabilistic small data global well-posedness of the energy-critical Maxwell-Klein-Gordon equation
Joachim Krieger, Jonas Luhrmann, Gigliola Staffilani
We establish probabilistic small data global well-posedness of the energy-critical Maxwell-Klein-Gordon equation relative to the Coulomb gauge for scaling super-critical random ini…
On the nonlinear Dysthe equation
Ricardo Grande, Kristin M. Kurianski, Gigliola Staffilani
This work is dedicated to putting on a solid analytic ground the theory of local well-posedness for the two dimensional Dysthe equation. This equation can be derived from the incom…
On the high-low method for NLS on the hyperbolic space
Gigliola Staffilani, Xueying Yu
In this paper, we first prove that the cubic, defocusing nonlinear Schrödinger equation on the two dimensional hyperbolic space with radial initial data in is g…
Revisitation of a Tartar's result on a semilinear hyperbolic system with null condition
Roberta Bianchini, Gigliola Staffilani
We revisit a method introduced by Tartar for proving global well-posedness of a semilinear hyperbolic system with null quadratic source in one space dimension. A remarkable point i…
Smoothing effect for time-degenerate Schrödinger operators
Serena Federico, Gigliola Staffilani
In this work we consider an example of a linear time-degenerate Schrödinger operator. We show that with the appropriate assumptions the operator satisfies a Kato smoothing effect.…