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Potential Analysis

, Volume 41, Issue 4, pp 1203–1222 | Cite as

A Comparison Principle for Stochastic Integro-Differential Equations

  • Konstantinos Anastasios Dareiotis
  • István Gyöngy
Article

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.

Keywords

Comparison principle Itô’s formula SPDE Lévy processes 

Mathematics Subject Classification (2010)

60H15 35R09 

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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  • Konstantinos Anastasios Dareiotis
    • 1
  • István Gyöngy
    • 1
  1. 1.School of Mathematics University of Edinburgh King’s Buildings EdinburghEdinburghUK

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