We consider the stochastic heat equation driven by general stochasric measure іn $\mathbb{R}$ іп the mild sense. Under some assumptions, we prove that the solution tends to 0 a.s. as $|x| → ∞$.
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- ACS Style
- Bodnarchuk , I.M.; Radchenko, V.M. Asymptotic behavior of the solution of the heat conduction equation with a stochastic measure. Bukovinian Mathematical Journal. 2018, 2
- AMA Style
- Bodnarchuk IM, Radchenko VM. Asymptotic behavior of the solution of the heat conduction equation with a stochastic measure. Bukovinian Mathematical Journal. 2018; 2(1).
- Chicago/Turabian Style
- Iryna Mykolayivna Bodnarchuk , Vadym Mykolayovych Radchenko. 2018. "Asymptotic behavior of the solution of the heat conduction equation with a stochastic measure". Bukovinian Mathematical Journal. 2 no. 1.