Riemann integral of a random function and the parabolic equation with a general stochastic measure

Details Riemann integral of a random function and the parabolic equation with a general stochastic measure Riemann integral of a random function and the parabolic equation with a general stochastic measure

2012-01-09

arxiv.org/abs/1201.1792v1

Mathematics

Probability

12 pages

Scientific paper

For stochastic parabolic equation driven by a general stochastic measure, the
weak solution is obtained. The integral of a random function in the equation is
considered as a limit in probability of Riemann integral sums. Basic properties
of such integrals are studied in the paper.

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