Geodesic
A probabilistic representation of the Cauchy problem solution for an evolution equation with the differential operator of the order greater than~2
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 24, Tome 454 (2016), pp. 220-237

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Let $m$ be a positive integer. We construct a probabilistic representation of the Cauchy problem solution for the high-order heat-type equation $\frac{\partial u}{\partial t}=c_m\frac{\partial^mu}{\partial^mx}$. 
@article{ZNSL_2016_454_a13,
     author = {M. V. Platonova},
     title = {A probabilistic representation of the {Cauchy} problem solution for an evolution equation with the differential operator of the order greater than~2},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {220--237},
     publisher = {mathdoc},
     volume = {454},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2016_454_a13/}
}
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M. V. Platonova. A probabilistic representation of the Cauchy problem solution for an evolution equation with the differential operator of the order greater than~2. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 24, Tome 454 (2016), pp. 220-237. http://geodesic.mathdoc.fr/item/ZNSL_2016_454_a13/