Asymptotics of the mild solution of a parabolic equation with a general stochastic measure
DOI:
https://doi.org/10.17721/1812-5409.2023/2.8Keywords:
asymptotic behavior, stochastic measure, stochastic parabolic equation, mild solution, Besov spaceAbstract
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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