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Brownian Motion and Partial Differential Equations

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Part of the book series: Graduate Texts in Mathematics ((GTM,volume 113))

Abstract

There is a rich interplay between probability theory and analysis, the study of which goes back at least to Kolmogorov (1931). It is not possible in a few sections to develop this subject systematically; we instead confine our attention to a few illustrative cases of this interplay. Recent monographs on this subject are those of Doob (1984) and Durrett (1984).

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© 1988 Springer-Verlag New York Inc.

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Karatzas, I., Shreve, S.E. (1988). Brownian Motion and Partial Differential Equations. In: Brownian Motion and Stochastic Calculus. Graduate Texts in Mathematics, vol 113. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-0302-2_4

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  • DOI: https://doi.org/10.1007/978-1-4684-0302-2_4

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4684-0304-6

  • Online ISBN: 978-1-4684-0302-2

  • eBook Packages: Springer Book Archive

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