Wei Yan

works on

density function convergence 1 high-low frequency technique 1 Ostrovsky equation 1 probabilistic PDE 1 randomization methods 1 Schatten class 1

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math.AP2026

The probabilistic convergence problem of density functions related to $\partial_{x}^{3} + \partial_{x}^{- 1}$

Xiangqian Yan, Yongsheng Li, Wei Yan

The paper proves that density functions associated with the operator ∂ₓ³+∂ₓ⁻¹ on the real line converge probabilistically, using full randomization, high‑low frequency decompositio…

math.AP2026

Spatial decay and nonlinear smoothing of the sixth-order Boussinesq equation

Xiangqian Yan, Yongsheng Li, Wei Yan

In this paper, we study the initial value problem of the sixth-order Boussinesq equation with quadratic and cubic nonlinearities in arbitrary spatial dimensions. First, by using th…

math.AP2024

Strichartz estimates for orthonormal functions and convergence problem of density functions of Boussinesq operator on manifolds

Xiangqian Yan, Yongsheng Li, Wei Yan +1

This paper is devoted to studying the maximal-in-time estimates and Strichartz estimates for orthonormal functions and convergence problem of density functions related to Boussines…

The probabilistic convergence problem of density functions related to ∂x3​+∂x−1​

Spatial decay and nonlinear smoothing of the sixth-order Boussinesq equation

Strichartz estimates for orthonormal functions and convergence problem of density functions of Boussinesq operator on manifolds

The probabilistic convergence problem of density functions related to $\partial_{x}^{3} + \partial_{x}^{- 1}$