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JOURNALS // Zapiski Nauchnykh Seminarov POMI

Zap. Nauchn. Sem. POMI, 2010, Volume 384, Pages 238–266 (Mi znsl3894)

The probabilistic representation of the decisions of a class of evolution equations
N. V. Smorodina, M. M. Faddeev

References

1. A. D. Venttsel, Kurs teorii sluchainykh protsessov, Nauka, Moskva, 1975  mathscinet
2. I. M. Gelfand, G. E. Shilov, Obobschennye funktsii i deistviya nad nimi, Nauka, Moskva, 1958  zmath
3. Yu. L. Daletskii, S. V. Fomin, Mery i differentsialnye uravneniya v funktsionalnykh prostranstvakh, Nauka, Moskva, 1983  mathscinet
4. T. Funaki, “Probabilistic construction of the solution of some higher order parabolic differential equations”, Proc. Japan Acad. A, 55 (1979), 176–179  crossref  mathscinet  zmath
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  crossref  mathscinet  zmath  isi
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  crossref  mathscinet  zmath  isi
8. A. V. Skorokhod, Sluchainye protsessy s nezavisimymi prirascheniyami, Nauka, Moskva, 1986  mathscinet  zmath
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  crossref  mathscinet  zmath  isi


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