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math.AP2023
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…
math.AP2023★ 3 cited
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…
math.AP2023★ 2 cited
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…