Abstract
This work consists of the applications of the infinite dimensional stochastic calculus to the following problems:Construction of the Eā-flows of the finite dimensional diffusions with regular coefficients, a simple and short proof of the generalized Ito-Stratonovitch formula,probabilistic solutions of the heat and Schrodinger1s equations in the space of the distributions,diffusions depending on a parameter and the reduc tion of the unnormalized density equation of the filter ing of non-linear diffusions into a deterministic Cauchy problem depending on a parameter.
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Ā© 1983 D. Reidel Publishing Company
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Ustunel, A.S. (1983). Some Applications of Stochastic Calculus on the Nuclear Spaces to the Nonlinear Problems. In: Bucy, R.S., Moura, J.M.F. (eds) Nonlinear Stochastic Problems. NATO ASI Series, vol 104. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7142-4_36
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DOI: https://doi.org/10.1007/978-94-009-7142-4_36
Publisher Name: Springer, Dordrecht
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