3 papers
math.AP2026
Backward Uniqueness for Coupled Ultraparabolic Operators and an Application to Jerk-Driven Control Models
Xiao-Dong Cao, Chao-Jiang Xu, Yan Xu
We prove backward uniqueness for a class of ultraparabolic operators with coupled linear drift. The main difficulty is that the Fourier transform in the degenerate variables turns…
math.AP2025
Analytic smoothing effect for a model of Kolmogorov-Prandtl type equations
Xiao-Dong Cao, Chao-Jiang Xu, Yan Xu
In this note, we consider the Cauchy problem for a model of Kolmogorov-Prandtl type equations. For the small perturbation of a constant state, we prove that it admits a unique clas…
math.AP2025
Regularizing effect of the spatially homogeneous Landau equation with soft potential
Xiao-Dong Cao, Chao-Jiang Xu, Yan Xu
This paper investigates the Cauchy problem of the spatially homogeneous Landau equation with soft potential under the perturbation framework to global equilibrium. We prove that th…