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Itô’s Partial Differential Equations and Diffusion Processes

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Stochastic Evolution Systems

Part of the book series: Probability Theory and Stochastic Modelling ((PTSM,volume 89))

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Abstract

In this chapter we continue the study of the Cauchy problem for second-order parabolic Itô equations, this time concentrating on qualitative, rather than analytical, aspects of the problem. The main objective is to establish various connections between these equations and diffusion processes.

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References

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Rozovsky, B.L., Lototsky, S.V. (2018). Itô’s Partial Differential Equations and Diffusion Processes. In: Stochastic Evolution Systems. Probability Theory and Stochastic Modelling, vol 89. Springer, Cham. https://doi.org/10.1007/978-3-319-94893-5_5

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