Abstract
In this paper, there are studied sample paths properties of stochastic processes representing solutions (in $L_2(\Omega)$ sense) of the heat equation with random initial conditions given by $\varphi$-sub-Gaussian stationary processes. The main results are the bounds for the distributions of the suprema for such stochastic processes considered over bounded and unbounded domains.
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Schedule a callMore From: Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics
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