Geodesic
The probabilistic representation of the decisions of a~class of evolution equations
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 16, Tome 384 (2010), pp. 238-266

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We consider a class of pseudo-differential operators acting on test functions as a convolution with a given generalized function. For evolution families with generators from this class we construct an analog of a probabilistic representation. Bibl. 9 titles. 
@article{ZNSL_2010_384_a12,
     author = {N. V. Smorodina and M. M. Faddeev},
     title = {The probabilistic representation of the decisions of a~class of evolution equations},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {238--266},
     publisher = {mathdoc},
     volume = {384},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2010_384_a12/}
}
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N. V. Smorodina; M. M. Faddeev. The probabilistic representation of the decisions of a~class of evolution equations. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 16, Tome 384 (2010), pp. 238-266. http://geodesic.mathdoc.fr/item/ZNSL_2010_384_a12/