Nonlinear equations in diffusion theory
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 4, Tome 278 (2001), pp. 15-35
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Connections between diffusion random processes and some classical nonlinear equations of mathematical physics, the solution theory, in particular, are investigated. It is shown that the solution theory equations select one-parameter families of absolutely continuons transformations of diffusion measures and make possible computation of the logarithmic derivatives of the corresponding measures with resect to the parameter.