2 papers
math.AP2026
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…
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…