Applied Mathematics
Volume 5, Issue 15 (August 2014)
ISSN Print: 2152-7385 ISSN Online: 2152-7393
Google-based Impact Factor: 0.58 Citations
The Cauchy Problem for the Heat Equation with a Random Right Part from the Space Subφ (Ω) ()
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ABSTRACT
The influence of random factors should often be taken into account in solving problems of mathematical physics. The heat equation with random factors is a classical problem of the parabolic type of mathematical physics. In this paper, the heat equation with random right side is examined. In particular, we give conditions of existence with probability, one classical solutions in the case when the right side is a random field, sample continuous with probability one from the space Subφ (Ω). Estimation for the distribution of the supremum of solutions of such equations is founded.
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