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math.AP2012★ 16 cited
On the Cauchy problem for Hartree equation in the Wiener algebra
Rémi Carles, Lounes Mouzaoui
We consider the mass-subcritical Hartree equation with a homogeneous kernel, in the space of square integrable functions whose Fourier transform is integrable. We prove a global we…
math.AP2012
High-frequency averaging in the semi-classical singular Hartree equation
Lounes Mouzaoui
We study the asymptotic behavior of the Schrödinger equation in the presence of a nonlinearity of Hartree type in the semi-classical regime. Our scaling corresponds to a weakly non…