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arXiv · 2607.22374

Asymptotic properties of the heat equation driven by stochastic measure

Vadym Radchenko
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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 ${\mathbb R}$ as $L\to \infty$. The estimate of the convergence rate is obtained. For a stochastic measure, we assume the $\sigma$-additivity in probability only.

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Vadym Radchenko. 2026-07-24. Asymptotic properties of the heat equation driven by stochastic measure. https://arxiv.org/abs/2607.22374

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