Abstract
For parabolic equations, containing a nonlinear part of a special form, one constructs a probabilistic representation of the solution in the form of the mathematical expectation of some functional of the trajectories of a branching process with a continuous set of particle types.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 2, pp. 162–167, February, 1991.
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Safaryan, R.G. R-D Systems and branching Jirina processes. Ukr Math J 43, 137–142 (1991). https://doi.org/10.1007/BF01060497
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DOI: https://doi.org/10.1007/BF01060497