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Stochastics
An International Journal of Probability and Stochastic Processes
Volume 90, 2018 - Issue 4
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Articles

On the rate of convergence of strong Euler approximation for SDEs driven by Levy processes

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Pages 569-604 | Received 11 Aug 2016, Accepted 04 Sep 2017, Published online: 28 Sep 2017

References

  • D. Applebaum, Lévy Processes and Stochastic Calculus, 2nd ed., Cambridge University Press, Cambridge, 2009.
  • G. DaPrato, F. Flandoli, E. Priola, and M. Röckner, Strong uniqueness for stochastic evolution equations in Hilbert spaces with bounded and measurable drift, Ann. Probab. 41(5) (2013), pp. 3306–3344.
  • F. Fedrizzi, and F. Flandoli, Pathwise uniquness and continuous dependence of SDEs with non-regular drift, Stochastics 83 (2011), pp. 241–257.
  • F. Flandoli, M. Gubinelli, and E. Priola, Well-posedness of the transport equation by stochastic perturbation, Invent. Math. 180 (2010), pp. 1–53.
  • J. Jacod, The Euler scheme for Levy driven SDEs: Limit theorems, Ann. Probab. 32(3) (2004), pp. 1830–1872.
  • J.-M. Leahy, and R. Mikulevicius, On classical solutions of linear stochastic integro-differential equations, Stoch PDE: Anal. Comput. 4(3) (2016), pp. 535–591. doi:10.1007/s40072-016-0070-5.
  • E. Lenglart, Relation de domination entre deux processus, Ann. l’I.H.P. Sect. B 13(2) (1977), pp. 171–179.
  • R. Mikulevicius, and H. Pragarauskas, On the Cauchy problem for integro-differential operators in Hölder classes and the uniqueness of the martingale problem, Potential Anal. 40(4) (2014), pp. 539–563.
  • O.M. Pamen, and D. Taguchi, Strong rate of convergence for the Euler-Maruyama approximation of SDEs with Hölder continuous drift coefficient, (2016), pp. 1–19. Available at arXiv:1508.07513.
  • E. Priola, Pathwise uniqueness for singular SDEs driven by stable processes, Osaka J. Math. 49(2) (2012), pp. 421–447.

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