Asymptotic properties of the heat equation driven by stochastic measure

В. М. Радченко

Asymptotic properties of the heat equation driven by stochastic measure

Тип публікації :

Препринт

Дата випуску :

24 липня 2026 р.

Автор(и) :

В. М. Радченко

eKNUTSHIR URL :

https://ir.library.knu.ua/handle/15071834/34322

Журнал :

arXiv (Cornell University)

Цитування :

[APA 7] В., М. Р. (2026). Asymptotic properties of the heat equation driven by stochastic measure. arXiv (Cornell University),. https://ir.library.knu.ua/handle/15071834/34322

[ДСТУ] В. М. Р. Asymptotic properties of the heat equation driven by stochastic measure. arXiv (Cornell University). 2026. URL: https://ir.library.knu.ua/handle/15071834/34322 (дата звернення: 11.09.2026).

For the heat equations driven by a stochastic measure on $[-L, L]$ with the Dirichlet boundary condition, we prove that solutions tend to the solution of the heat equations defined on ${\mathbb R}$ as $L\to \infty$. The estimate of the convergence rate is obtained. For a stochastic measure, we assume the $σ$-additivity in probability only.

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