Heat equation with a general stochastic measure in a bounded domain
Volume 12, Issue 1 (2025), pp. 61–82
Pub. online: 12 July 2024
Type: Research Article
Open Access
Open Access
Received
21 February 2024
21 February 2024
Revised
2 July 2024
2 July 2024
Accepted
3 July 2024
3 July 2024
Published
12 July 2024
12 July 2024
Abstract
A stochastic heat equation on $[0,T]\times B$, where B is a bounded domain, is considered. The equation is driven by a general stochastic measure, for which only σ-additivity in probability is assumed. The existence, uniqueness and Hölder regularity of the solution are proved.
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