Asymptotic properties of the heat equation driven by stochastic measure
Pub. online: 30 October 2026
Type: Research Article
Open Access
Open Access
Received
24 July 2026
24 July 2026
Accepted
12 October 2026
12 October 2026
Published
30 October 2026
30 October 2026
Abstract
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 R as $𝐿\to \mathrm{\infty }$. The estimate of the convergence rate is obtained. For a stochastic measure, we assume the 𝜎-additivity in probability only.
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