English

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

Probability 2016-06-21 v1

Abstract

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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Cite

@article{arxiv.1201.1792,
  title  = {Riemann integral of a random function and the parabolic equation with a general stochastic measure},
  author = {Vadym Radchenko},
  journal= {arXiv preprint arXiv:1201.1792},
  year   = {2016}
}

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12 pages