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Invariant manifolds for random parabolic evolution equations with almost sectorial operators

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2025

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Lahbiri, Fatima Z.
Riedel, Sebastian

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https://doi.org/10.1142/s0219493725300013
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Stochastics and Dynamics. World Scientific Publishing. 2025, 25(06), 2530001. ISSN 0219-4937. eISSN 1793-6799. Verfügbar unter: doi: 10.1142/s0219493725300013

Zusammenfassung

In this paper, we develop a way of analyzing the random dynamics of stochastic evolution equations with a non-dense domain. Such problems cover several types of evolution equations. We are particularly interested in evolution equations with non-homogeneous boundary conditions of white noise type. We prove the existence of stable, unstable, and center manifolds around a stationary trajectory by combining integrated semigroup theory and invariant manifold theory. The results are applied to stochastic parabolic equations with white noise at the boundary.

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510 Mathematik

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ISO 690GHANI VARZANEH, Mayzar, Fatima Z. LAHBIRI, Sebastian RIEDEL, 2025. Invariant manifolds for random parabolic evolution equations with almost sectorial operators. In: Stochastics and Dynamics. World Scientific Publishing. 2025, 25(06), 2530001. ISSN 0219-4937. eISSN 1793-6799. Verfügbar unter: doi: 10.1142/s0219493725300013
BibTex
@article{GhaniVarzaneh2025-09Invar-74683,
  title={Invariant manifolds for random parabolic evolution equations with almost sectorial operators},
  year={2025},
  doi={10.1142/s0219493725300013},
  number={06},
  volume={25},
  issn={0219-4937},
  journal={Stochastics and Dynamics},
  author={Ghani Varzaneh, Mayzar and Lahbiri, Fatima Z. and Riedel, Sebastian},
  note={Article Number: 2530001}
}
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