# Existence of affine realizations for stochastic partial differential equations driven by L\'evy processes

## TL;DR

This paper investigates conditions under which certain stochastic partial differential equations driven by Le9vy processes can be represented with affine realizations, supported by examples from sciences and economics.

## Contribution

It provides new criteria for the existence of affine realizations in SPDEs driven by Le9vy processes, with practical examples.

## Key findings

- Criteria established for affine realizations in SPDEs driven by Le9vy processes
- Examples demonstrating applications in sciences and economics
- Clarification of when such affine representations are possible

## Abstract

The goal of this paper is to clarify when a semilinear stochastic partial differential equation driven by L\'evy processes admits an affine realization. Our results are accompanied by several examples arising in natural sciences and economics.