Asymptotics of the mild solution of awave equation in three-dimensional space driven by a general stochastic measure
Тип публікації :
Стаття
Дата випуску :
2019
Автор(и) :
Bodnarchuk, I. M.
Мова основного тексту :
Англійська
eKNUTSHIR URL :
Випуск :
4
ISSN :
1812-5409
Початкова сторінка :
12
Кінцева сторінка :
17
Цитування :
[APA 7] Bodnarchuk, I. M. (2019). Asymptotics of the mild solution of awave equation in three-dimensional space driven by a general stochastic measure. Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics, (4), 12–17. https://doi.org/10.17721/1812-5409.2019/4.2
[ДСТУ] Bodnarchuk I. M. Asymptotics of the mild solution of awave equation in three-dimensional space driven by a general stochastic measure. Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics. 2019. no. 4. P. 12—17. DOI: 10.17721/1812-5409.2019/4.2 (date of access: 25.07.2026).
We study the Cauchy problem for a wave equation in three-dimensional space driven by a general stochastic measure. Under some assumptions, we prove that the mild solution tends to zero almost surely as the absolute value of the spatial variable tends to infinity.Key words: asymptotic behavior, stochastic measure, stochastic wave equation, mild solution, Besov space.Pages of the article in the issue: 12 - 17Language of the article: English
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