From the 1 of 5 linked papers with an AI index.
5 papers
Almost sure spatial decay and almost sure nonlinear smoothing of some stochastic dispersive equations
Xiangqian Yan, Yongsheng Li, Jianhua Huang +1
In this paper, we consider the almost sure nonlinear smoothing, the almost sure spatial decay and the almost sure uniform convergence of the stochastic mKdV equation and the stocha…
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…
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…
The Cauchy problem for the generalized KdV equation in the Sobolev space
Xiangqian Yan, Yongsheng Li, Juan Huang +2
In this paper, we are concerned with the Cauchy problem for the generalized KdV equation with random data and rough data. Firstly, when , by using the initial value…
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…