论文标题
调查具有随机初始条件的通风方程
Investigation of Airy equations with random initial conditions
论文作者
论文摘要
本文通过固定过程给出的随机初始数据调查了通风方程的均方根解决方案的特性。说明了解决方案连续性模量的结果，并描述了协方差函数的特性。提出了解决方案额外$φ$ -Sub-sub-gaussian初始条件下的分布的界限。提供了几个示例来说明结果。将结果扩展到分数通风方程的情况。
The paper investigates properties of mean-square solutions to the Airy equation with random initial data given by stationary processes. The result on the modulus of continiuty of the solution is stated and properties of the covariance function are described. Bounds for the distributions of the suprema of solutions under $φ$-sub-Gaussian initial conditions are presented. Several examples are provided to illustrate the results. Extension of the results to the case of fractional Airy equation is given.
