Jie Shao

collaborators

2 papers

math.AP2025

Local well-posedness for the quasilinear SchrÃ¶dinger equations via the generalized energy method

Jie Shao, Yi Zhou

We study the Cauchy problem of quasilinear SchrÃ¶dinger equations, for which Kenig et al. (Invent Math, 2004; Adv Math, 2006) obtained large data local well-posedness by pseudo-dif…

math.AP2025

Global well-posedness in the critical Besov space of the skew mean curvature flow in $R^{d} : d \geq 5$

Ning-An Lai, Jie Shao, Yi Zhou

In this paper, we are devoted to studying the global regularity for the skew mean curvature flow with small initial data in $R^{d} (d \geq 5)$ . By using a new div-curl lemma…

Local well-posedness for the quasilinear SchrÃ¶dinger equations via the generalized energy method

Global well-posedness in the critical Besov space of the skew mean curvature flow in Rd:d≥5

Global well-posedness in the critical Besov space of the skew mean curvature flow in $R^{d} : d \geq 5$