The heat equation on line with random right part from Orlicz space

  • A.I. Slyvka-Tylyshchak Taras Shevchenko National University, 64/13 Volodymyrska str., 01601, Kyiv, Ukraine
Keywords: the heat equation, Orlicz space
Published online: 2014-07-15

Abstract


In this paper the heat equation with random right part is examined. In particular, we give conditions for existence with probability one of the solutions in the case when the right part is a random field, sample continuous with probability one from the Orlicz space. Estimation for the distribution of the supremum of solutions of such equations is found.
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