Estimates for distribution of suprema of solutions to higher-order partial differential equations with random initial conditions

In the paper we consider higher-order partial differential equations from the class of linear dispersive equations. We investigate solutions to these equations subject to random initial conditions given by harmonizable φ-sub-Gaussian processes. The main results are the bounds for the distributions o...

Full description

Bibliographic Details
Main Authors: Yuriy Kozachenko, Enzo Orsingher, Lyudmyla Sakhno, Olga Vasylyk
Format: Article
Language:English
Published: VTeX 2019-12-01
Series:Modern Stochastics: Theory and Applications
Subjects:
Online Access:https://www.vmsta.org/doi/10.15559/19-VMSTA146