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

collaborators

Showing 2019Show all

3 papers · 1 filter

math.NA2019★ 7 cited

Optimal convergence of a second order low-regularity integrator for the KdV equation

Yifei Wu, Xiaofei Zhao

In this paper, we establish the optimal convergence result of a second order exponential-type integrator from (136, Numer. Math., 2017) for solving the KdV equation under rough ini…

math.AP2019

Global rough solution for $L^{2}$ -critical semilinear heat equation in the negative Sobolev space

Avy Soffer, Yifei Wu, Xiaohua Yao

In this paper, we consider the Cauchy global problem for the $L^{2}$ -critical semilinear heat equations $\partial_{t} h = Δ h \pm ∣ h ∣^{\frac{4}{d}} h,$ with $h (0, x) = h_{0}$ , where $h$ is an unkno…

math.AP2019★ 3 cited

Large global solutions for nonlinear Schrödinger equations III, energy-supercritical cases

Marius Beceanu, Qingquan Deng, Avy Soffer +1

In this work, we mainly focus on the energy-supercritical nonlinear Schrödinger equation, $i \partial_{t} u + Δ u = μ ∣ u ∣^{p} u, (t, x) \in R^{d + 1},$ with $μ = \pm 1$ and $p>\…

Optimal convergence of a second order low-regularity integrator for the KdV equation

Global rough solution for L2-critical semilinear heat equation in the negative Sobolev space

Large global solutions for nonlinear Schrödinger equations III, energy-supercritical cases

Global rough solution for $L^{2}$ -critical semilinear heat equation in the negative Sobolev space