English

Flatness of invariant manifolds for stochastic partial differential equations driven by L\'{e}vy processes

Probability 2025-11-21 v1 Functional Analysis

Abstract

The purpose of this note is to prove that the flatness of an invariant manifold for a semilinear stochastic partial differential equation driven by L\'{e}vy processes is at least equal to the number of driving sources with small jumps. We illustrate our findings by means of an example.

Keywords

Cite

@article{arxiv.1907.00337,
  title  = {Flatness of invariant manifolds for stochastic partial differential equations driven by L\'{e}vy processes},
  author = {Stefan Tappe},
  journal= {arXiv preprint arXiv:1907.00337},
  year   = {2025}
}

Comments

10 pages

R2 v1 2026-06-23T10:07:46.767Z