# Backward stochastic evolution equations in UMD Banach spaces

## TL;DR

This paper extends the theory of backward stochastic evolution equations to UMD Banach spaces, establishing well-posedness results that generalize previous work in the field.

## Contribution

It provides the first well-posedness results for backward stochastic evolution equations specifically in UMD Banach spaces, broadening the scope of existing stochastic analysis.

## Key findings

- Proved well-posedness of backward stochastic evolution equations in UMD Banach spaces.
- Generalized classical results of Pardoux, Peng, Hu to a broader functional setting.
- Established foundational results for future research in stochastic evolution equations in Banach spaces.

## Abstract

Extending results of Pardoux and Peng and Hu and Peng, we prove well-posedness results for backward stochastic evolution equations in UMD Banach spaces.