English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

In this paper, we study the well-posedness of multi-dimensional backwardstochastic differential equations driven by $G$-Brownian motion ($G$-BSDEs)with diagonal generators, the $z$ parts of whose $l$-th components only dependon the $l$-th columns. The existence and uniqueness of solutions are obtainedvia a contraction argument for $Y$ component and a backward iteration of localsolutions. Furthermore, we show that, the solution of multi-dimensional$G$-BSDE in a Markovian framework provides a probabilistic formula for theviscosity solution of a system of nonlinear parabolic partial differentialequations.

Multi-dimensional BSDEs driven by $G$-Brownian motion and related system of fully nonlinear PDEs