Yifei Wu

activity

20092022

most citedGlobal well-posedness on the derivative nonlinear Schrödinger equation revisited

80 citations · 286 across the 38 of their papers we have counts for

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Showing 2021 · math.APShow all

3 papers · 2 filters

math.AP2021

Large global solutions for energy-critical nonlinear Schrödinger equation

Ruobing Bai, Jia Shen, Yifei Wu

In this work, we consider the 3D defocusing energy-critical nonlinear Schrödinger equation $i \partial_{t} u + Δ u = ∣ u ∣^{4} u, (t, x) \in R \times R^{3}$ . Applying the ou…

math.AP2021★ 1 cited

Almost sure scattering for the nonradial energy-critical NLS with arbitrary regularity in 3D and 4D cases

Jia Shen, Avy Soffer, Yifei Wu

In this paper, we study the defocusing energy-critical nonlinear Schrödinger equations $i \partial_{t} u + Δ u = ∣ u ∣^{\frac{4}{d - 2}} u .$ When $d = 3, 4$ , we prove the almost sure scat…

math.AP2021

Almost sure well-posedness and scattering of the 3D cubic nonlinear Schrödinger equation

Jia Shen, Avy Soffer, Yifei Wu

We study the random data problem for 3D, defocusing, cubic nonlinear Schrödinger equation in $H_{x}^{s} (R^{3})$ with $s < \frac{1}{2}$ . First, we prove that the almost sure local wel…