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.
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| Format: | Article |
| Language: | English |
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State University “Uzhhorod National University”
2018-06-01
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| Series: | Науковий вісник Ужгородського університету. Серія: Математика і інформатика |
| Online Access: | http://visnyk-math.uzhnu.edu.ua/article/view/157975 |
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Article |
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doaj-97dc83fd4c764b95b64c163bb9d8e4ce2021-09-02T13:44:13ZengState University “Uzhhorod National University”Науковий вісник Ужгородського університету. Серія: Математика і інформатика2616-77002018-06-0101(32)13614610.24144/2616-7700.2018.1(32).136-146157975The properties of generalized solution of Cauchy problems for the heat equations with a random right side from Orlicz spaceГ. І. Сливка-ТилищакМ. М. МихасюкIn 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.http://visnyk-math.uzhnu.edu.ua/article/view/157975 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Г. І. Сливка-Тилищак М. М. Михасюк |
| spellingShingle |
Г. І. Сливка-Тилищак М. М. Михасюк The properties of generalized solution of Cauchy problems for the heat equations with a random right side from Orlicz space Науковий вісник Ужгородського університету. Серія: Математика і інформатика |
| author_facet |
Г. І. Сливка-Тилищак М. М. Михасюк |
| author_sort |
Г. І. Сливка-Тилищак |
| title |
The properties of generalized solution of Cauchy problems for the heat equations with a random right side from Orlicz space |
| title_short |
The properties of generalized solution of Cauchy problems for the heat equations with a random right side from Orlicz space |
| title_full |
The properties of generalized solution of Cauchy problems for the heat equations with a random right side from Orlicz space |
| title_fullStr |
The properties of generalized solution of Cauchy problems for the heat equations with a random right side from Orlicz space |
| title_full_unstemmed |
The properties of generalized solution of Cauchy problems for the heat equations with a random right side from Orlicz space |
| title_sort |
properties of generalized solution of cauchy problems for the heat equations with a random right side from orlicz space |
| publisher |
State University “Uzhhorod National University” |
| series |
Науковий вісник Ужгородського університету. Серія: Математика і інформатика |
| issn |
2616-7700 |
| publishDate |
2018-06-01 |
| description |
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. |
| url |
http://visnyk-math.uzhnu.edu.ua/article/view/157975 |
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