4 papers
Low-regularity Schrödinger map flow on high-dimensional periodic domains
Li Tu, Yi Zhou
We study the initial-value problem for the Schrödinger map flow from flat torus into compact Kähler manifold . When and $\mathcal{N} = \mat…
Low-regularity global well-posedness for the Boltzmann equation near vacuum
Xinfeng Hu, Shuangqian Liu, Haoran Peng +1
We study the Boltzmann equation near vacuum in anisotropic low-regularity Besov spaces. We establish the global existence and uniqueness of strong solutions with the critical regul…
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…
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 and $H^{\frac{1…