Li Tu

collaborators

3 papers

math.AP2026

Low-regularity SchrÃ¶dinger map flow on high-dimensional periodic domains

Li Tu, Yi Zhou

We study the initial-value problem for the SchrÃ¶dinger map flow from flat torus $T^{d}$ into compact KÃ¤hler manifold $N$ . When $d \geq 3$ and $\mathcal{N} = \mat…

math.AP2025

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II)

Xinfeng Hu, Li Tu, Yi Zhou

The work by Kenig-Ponce-Vega [15] initiated the use of Bourgain spaces to study the low-regularity well-posedness of semilinear dispersive equations. Since then, the Bourgain space…

math.AP2025

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations

Li Tu, Yi Zhou

We give a simpler proof for the local well-posedness of the modified Korteweg-de Vries equations and modified Benjamin-Ono equation in $H^{\frac{1}{4}} (R)$ and $H^{\frac{1…