3 citations · 6 across the 10 of their papers we have counts for
11 papers
Endpoint orthonormal Strichartz estimates
Sonae Hadama, Shunya Toyoshima
We establish the orthonormal Strichartz estimates in the abstract Keel--Tao framework, under precisely the same hypotheses as in their original theorem. As an important consequence…
Small-data theory for the intermediate NLS and the Calogero--Moser derivative NLS
Sonae Hadama
In this paper, we study a class of nonlinear Schrödinger equations (NLS) in a unified way. This class includes two important examples: the intermediate NLS (INLS) and the Calogero-…
Applications of renormalisation to orthonormal Strichartz estimates and the NLS system on the circle
Sonae Hadama, Andrew Rout
In this paper, we introduce a renormalisation procedure for the density associated with the system of nonlinear Schrödinger equations (NLSS) on a circle. We show that this renormal…
Well-posedness in for nonlocal NLS in the full subcritical range of symbol growth
Sonae Hadama
In this paper, we study a class of one-dimensional nonlocal nonlinear Schrödinger equations on the line with nonlinearity given by a Fourier multiplier whose symbol has subcritical…
Uniform dispersive estimates for the semi-classical Hartree equation with long-range interaction
Sonae Hadama
In this paper, we consider the Hartree equation with smooth but long-range interaction in the semi-classical regime, in three-dimensional space. We show that the density function o…
Semi-classical limit of quantum scattering states for the nonlinear Hartree equation
Sonae Hadama, Younghun Hong
This article concerns the long-time dynamics of quantum particles in the semi-classical regime. First, we show that for the nonlinear Hartree equation with short-range interaction…
Scattering for the positive density Hartree equation
Antoine Borie, Sonae Hadama, Julien Sabin
We study the asymptotic stability for large times of homogeneous stationary states for the nonlinear Hartree equation for density matrices in Rd for d\geq3. We can reach both the o…
Global well-posedness of the nonlinear Hartree equation for infinitely many particles with singular interaction
Sonae Hadama, Younghun Hong
The nonlinear Hartree equation (NLH) in the Heisenberg picture admits steady states of the form representing quantum states of infinitely many particles. In this articl…
Probabilistic Strichartz estimates in Schatten classes and their applications to the Hartree equation
Sonae Hadama, Takuto Yamamoto
In this paper, we consider the Strichartz estimates for orthonormal systems in the context of randomization. Frank, Lewin, Lieb, and Seiringer first proved the orthonormal Strichar…
Asymptotic stability of a wide class of stationary solutions for the Hartree and Schrödinger equations for infinitely many particles
Sonae Hadama
We consider the Hartree and Schrödinger equations describing the time evolution of wave functions of infinitely many interacting fermions in three-dimensional space. These equation…
Asymptotic stability of a wide class of steady states for the Hartree equation for random fields
Sonae Hadama
We study the Hartree equation describing the time evolution of the wave functions of infinitely many fermions interacting with each other. The Hartree equation can be formulated in…