Email this article A Probabilistic Representation of Solution to the Cauchy Problem for Evolution Equation with Differential Operator of Order Greater Than 2
- Authors: Platonova M.V.1
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Affiliations:
- P. L. Chebysev Laboratory, St.Petersburg State University
- Issue: Vol 229, No 6 (2018)
- Pages: 744-755
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/240553
- DOI: https://doi.org/10.1007/s10958-018-3714-3
- ID: 240553
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Abstract
Let m be a positive integer. A probabilistic representation of a solution to the Cauchy problem for the high order heat type equation \( \frac{\partial u}{\partial t}={c}_m\frac{\partial^mu}{\partial^mx} \) is constructed. Bibliography: 11 titles
About the authors
M. V. Platonova
P. L. Chebysev Laboratory, St.Petersburg State University
Author for correspondence.
Email: mariyaplat@rambler.ru
Russian Federation, St.Petersburg
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