17 citations · 32 across the 2 of their papers we have counts for
5 papers
Invariant Gibbs measure and global strong solutions for the Hartree NLS equation in dimension three
Yu Deng, Andrea R. Nahmod, Haitian Yue
In this paper we consider the defocusing Hartree nonlinear Schrödinger equations on with real valued and even potential and Fourier multiplier decaying like $|k|^…
Random tensors, propagation of randomness, and nonlinear dispersive equations
Yu Deng, Andrea R. Nahmod, Haitian Yue
Abstract. The purpose of this paper is twofold. We introduce the theory of random tensors, which naturally extends the method of random averaging operators in our earlier work arXi…
Optimal local well-posedness for the periodic derivative nonlinear Schrodinger equation
Yu Deng, Andrea R. Nahmod, Haitian Yue
We prove local well-posedness for the periodic derivative nonlinear Schrodinger's equation, which is L^2 critical, in Fourier-Lebesgue spaces which scale like H^s(T) for s>0. In pa…
Almost sure well-posedness for the cubic nonlinear Schrödinger equation in the super-critical regime on $\TTT^d$,
Haitian Yue
In this paper we prove almost sure local well-posedness in both atomic spaces and Fourier restriction spaces for the cubic nonlinear Schrödinger equation on $\TTT^…
Global Well-Posedness of the Energy-Critical Nonlinear Schrödinger Equation on
Haitian Yue
In this paper, we first prove global well-posedness for the defocusing cubic nonlinear Schrödinger equation (NLS) on 4-dimensional tori - either rational or irrational - and with i…