L^p-Solutions and Comparison Results for Lévy Driven BSDEs in a Monotonic, General Growth Setting

Publikationen: Beitrag in FachzeitschriftArtikelForschung(peer-reviewed)

Autoren

Externe Organisationseinheiten

  • Universität Graz

Abstract

We present a unified approach to L p-solutions (p> 1) of multidimensional backward stochastic differential equations (BSDEs) driven by Lévy processes and more general filtrations. New existence, uniqueness and comparison results are obtained. The generator functions obey a time-dependent extended monotonicity (Osgood) condition in the y-variable and have general growth in y. Within this setting, the results generalize those of Royer, Yin and Mao, Yao, Kruse and Popier, and Geiss and Steinicke.

Details

OriginalspracheEnglisch
Seitenumfang51
FachzeitschriftJournal of theoretical probability
Jahrgang2020
DOIs
StatusVeröffentlicht - 24 Nov. 2020