Dareiotis, K and Gyöngy, I (2014) A Comparison Principle for Stochastic Integro-Differential Equations. Potential Analysis, 41. pp. 1203-1222. ISSN 0926-2601
Abstract
A comparison principle for stochastic integro-differential equations driven by Lévy processes is proved. This result is obtained via an extension of an Itô formula, proved by N.V. Krylov, for the square of the norm of the positive part of L 2 − valued, continuous semimartingales, to the case of discontinuous semimartingales.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © Springer Science+Business Media Dordrecht 2014. This is an author produced version of a paper published in Potential Analysis. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Comparison principle; Itˆo’s formula; SPDE; L´evy processes |
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: | 27 Jan 2020 12:26 |
Last Modified: | 27 Jan 2020 12:27 |
Status: | Published |
Publisher: | Springer Nature |
Identification Number: | 10.1007/s11118-014-9416-7 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:153131 |