density function convergence 1high-low frequency technique 1Ostrovsky equation 1probabilistic PDE 1randomization methods 1Schatten class 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.AP2026
The probabilistic convergence problem of density functions related to
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…