Counterexamples to local Lipschitz and local Hölder continuity with respect to the initial values for additive noise driven SDEs with smooth drift coefficient functions with at most polynomially growing derivatives

Jentzen A, Kuckuck B, Müller-Gronbach T, Yaroslavtseva L

Research article (journal) | Peer reviewed

Details about the publication

JournalDiscrete and Continuous Dynamical Systems - Series B
Volume27
Issue7
Page range3707-3724
StatusPublished
Release year2022
Language in which the publication is writtenEnglish
DOI10.3934/dcdsb.2021203
Link to the full texthttps://www.aimsciences.org/article/doi/10.3934/dcdsb.2021203
KeywordsStochastic differential equations; SDEs; regularity analysis; counterexample; initial value regularity

Authors from the University of Münster

Jentzen, Arnulf
Institute for Analysis and Numerics
Kuckuck, Benno
Mathematical Institute