Xianfeng Ren

most citedLocal Well-Posedness for the Derivative Nonlinear Schrödinger Equations with

L^{2}

Subcritical Data

3 citations · 3 across the 2 of their papers we have counts for

collaborators

2 papers

math.PR2025

Stochastic nonlinear wave equation with rougher than white noise

Xue-Mei Li, Xianfeng Ren

We study the singular stochastic wave equation on $T^{2}$ , with a cubic nonlinearity and Gaussian rough Matérn forcing (a Fourier multiplier of order $α > 0$ applied to space-t…

math.AP2016★ 3 cited

Local Well-Posedness for the Derivative Nonlinear Schrödinger Equations with $L^{2}$ Subcritical Data

Shaoming Guo, Xianfeng Ren, Baoxiang Wang

We will show its local well-posedness in modulation spaces $M^{1/2}_{2,q}({\Real})$ $(2 \leq q < \infty)$ . It is well-known that $H^{1/2}$ is a critical Sobolev space of DNLS so that…

Stochastic nonlinear wave equation with rougher than white noise

Local Well-Posedness for the Derivative Nonlinear Schrödinger Equations with L2 Subcritical Data

Local Well-Posedness for the Derivative Nonlinear Schrödinger Equations with $L^{2}$ Subcritical Data