Itô SDEs with Non-Lipschitz Coefficients

Francesco Russo, Pierre Vallois

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

Stochastic differential equations are a complex and articulated subject. We extend the framework of the previous chapter by considering SDEs with non-Lipschitz coefficients. Typically square Bessel processes are solutions of SDEs where the diffusion term is a square root. In this chapter we also investigate the existence and uniqueness for SDEs in the pathwise sense as well as in law. We also discuss the time reversal of diffusions.

Original languageEnglish
Title of host publicationBocconi and Springer Series
PublisherSpringer-Verlag Italia s.r.l.
Pages445-489
Number of pages45
DOIs
Publication statusPublished - 1 Jan 2022

Publication series

NameBocconi and Springer Series
Volume11
ISSN (Print)2039-1471
ISSN (Electronic)2039-148X

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