Issoglio, E orcid.org/0000-0003-3035-2712 and Russo, F (2020) A Feynman–Kac result via Markov BSDEs with generalised drivers. Bernoulli, 26 (1). pp. 728-766. ISSN 1350-7265
Abstract
In this paper, we investigate BSDEs where the driver contains a distributional term (in the sense of generalised functions) and derive general Feynman–Kac formulae related to these BSDEs. We introduce an integral operator to give sense to the equation and then we show the existence of a strong solution employing results on a related PDE. Due to the irregularity of the driver, the Y-component of a couple (Y,Z) solving the BSDE is not necessarily a semimartingale but a weak Dirichlet process.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2020 ISI/BS. Reproduced in accordance with the publisher's self-archiving policy. |
Keywords: | backward stochastic differential equations (BSDEs); distributional driver; Feynman–Kac formula; generalised and rough coefficients; pointwise product; weak Dirichlet process |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Statistics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 08 Aug 2019 11:16 |
Last Modified: | 25 Jun 2023 21:56 |
Status: | Published |
Publisher: | Bernoulli Society for Mathematical Statistics and Probability |
Identification Number: | 10.3150/19-BEJ1150 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:149437 |