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math.AP2018
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^…
math.AP2018
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…