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Dynamics of Stochastic Reaction-Diffusion Equations

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2020

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Kuehn, Christian

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https://doi.org/10.1142/9789811209796_0001
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GRECKSCH, Wilfried, ed., Hannelore LISEI, ed.. Infinite Dimensional and Finite Dimensional Stochastic Equations and Applications in Physics. Singapore: World Scientific, 2020, pp. 1-60. ISBN 978-981-12-0978-9. Available under: doi: 10.1142/9789811209796_0001

Zusammenfassung

We provide an overview on solution theory and dynamical phenomena for SPDEs, with a strong focus on stochastic reaction-diffusion equations. The main goal of this work is to provide a bridge between the classical theory and the recent developments in the context of rough paths and regularity structures. In this setting, the long-time behavior of SPDEs is discussed.

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510 Mathematik

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ISO 690KUEHN, Christian, Alexandra BLESSING-NEAMTU, 2020. Dynamics of Stochastic Reaction-Diffusion Equations. In: GRECKSCH, Wilfried, ed., Hannelore LISEI, ed.. Infinite Dimensional and Finite Dimensional Stochastic Equations and Applications in Physics. Singapore: World Scientific, 2020, pp. 1-60. ISBN 978-981-12-0978-9. Available under: doi: 10.1142/9789811209796_0001
BibTex
@incollection{Kuehn2020Dynam-53860,
  year={2020},
  doi={10.1142/9789811209796_0001},
  title={Dynamics of Stochastic Reaction-Diffusion Equations},
  isbn={978-981-12-0978-9},
  publisher={World Scientific},
  address={Singapore},
  booktitle={Infinite Dimensional and Finite Dimensional Stochastic Equations and Applications in Physics},
  pages={1--60},
  editor={Grecksch, Wilfried and Lisei, Hannelore},
  author={Kuehn, Christian and Blessing-Neamtu, Alexandra}
}
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