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The Malliavin calculus and its application to second order parabolic differential equations: Part II

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Abstract

The first part of this paper contains a rigorous and detailed development of the Malliavin calculus and its relation to stochastic integral equations. The second part is devoted to examples of applications of this machinery to the study of solutions to the Fokker-Planck equation, associated with diffusions. The applications given are by no means exhaustive, but instead they have been chosen to demonstrate the scope of Malliavin's ideas in the hope of stimulating further investigations into this subject.

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Authors and Affiliations

  1. Dept. of Mathematics, University of Colorado, 80309, Boulder, CO, USA

    Daniel W. Stroock (Guggenheim fellow)

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  1. Daniel W. Stroock
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Research partially supported by N. S. F. Grant MCS 77–14881 A01.

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Stroock, D.W. The Malliavin calculus and its application to second order parabolic differential equations: Part II. Math. Systems Theory 14, 141–171 (1981). https://doi.org/10.1007/BF01752393

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