# Asymptotics of the mild solution of a parabolic equation with a general stochastic measure

## DOI:

https://doi.org/10.17721/1812-5409.2023/2.8## Keywords:

asymptotic behavior, stochastic measure, stochastic parabolic equation, mild solution, Besov space## Abstract

We study the Cauchy problem for a parabolic equation on the line 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.

* Pages of the article in the issue*: 75 - 81

** Language of the article**: English

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*Bulletin of Taras Shevchenko National University of Kyiv. Physical and Mathematical Sciences*, (2), 75–81. https://doi.org/10.17721/1812-5409.2023/2.8

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Copyright (c) 2023 Irina Bodnarchuk

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