The properties of generalized solution of Cauchy problems for the heat equations with a random right side from Orlicz space

In this paper the heat equation with random right side are examined. In particular, we give conditions for existence with probability one of the generalized solutions in the case when the right side is a random field from the Orlicz space.

Bibliographic Details
Main Authors: Г. І. Сливка-Тилищак, М. М. Михасюк
Format: Article
Language:English
Published: State University “Uzhhorod National University” 2018-06-01
Series:Науковий вісник Ужгородського університету. Серія: Математика і інформатика
Online Access:http://visnyk-math.uzhnu.edu.ua/article/view/157975