@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},
year = {2010},
volume = {384},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2010_384_a12/}
}
TY - JOUR AU - N. V. Smorodina AU - M. M. Faddeev TI - The probabilistic representation of the decisions of a class of evolution equations JO - Zapiski Nauchnykh Seminarov POMI PY - 2010 SP - 238 EP - 266 VL - 384 UR - http://geodesic.mathdoc.fr/item/ZNSL_2010_384_a12/ LA - ru ID - ZNSL_2010_384_a12 ER -
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/
[1] A. D. Venttsel, Kurs teorii sluchainykh protsessov, Nauka, Moskva, 1975 | MR
[2] I. M. Gelfand, G. E. Shilov, Obobschennye funktsii i deistviya nad nimi, Nauka, Moskva, 1958 | Zbl
[3] Yu. L. Daletskii, S. V. Fomin, Mery i differentsialnye uravneniya v funktsionalnykh prostranstvakh, Nauka, Moskva, 1983 | MR
[4] T. Funaki, “Probabilistic construction of the solution of some higher order parabolic differential equations”, Proc. Japan Acad. A, 55 (1979), 176–179 | DOI | MR | Zbl
[5] J. Kerstan, K. Mattes, J. Mecke, Infinite Divisible Point Processes, Akademie-Verlag, Berlin, 1978
[6] Y. Nikitin, E. Orsingher, “On sojourn distribution of process related to some higher-order heat-type equation”, J. Theor. Probab., 13:4 (2000), 997–1012 | DOI | MR | Zbl
[7] L. Beghin, E. Orsingher, “The distribution of the local time for “pseudoprocess” and its connection with fractional diffusion equatios”, Stochastic Process. Appl., 115 (2005), 1017–1040 | DOI | MR | Zbl
[8] A. V. Skorokhod, Sluchainye protsessy s nezavisimymi prirascheniyami, Nauka, Moskva, 1986 | MR | Zbl
[9] N. Smorodina, M. Faddeev, “The Lévy–Khinchin representation of the one class of signed stable measures and some its applications”, Acta Appl. Math., 110 (2010), 1289–1308 | DOI | MR | Zbl