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A note on invariant manifolds for stochastic partial differential equations in the framework of the variational approach

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  • Bhaskaran, Rajeev
  • Tappe, Stefan

Abstract

In this note we provide conditions for local invariance of finite dimensional submanifolds for solutions to stochastic partial differential equations (SPDEs) in the framework of the variational approach. For this purpose, we provide a connection to SPDEs in continuously embedded spaces.

Suggested Citation

  • Bhaskaran, Rajeev & Tappe, Stefan, 2025. "A note on invariant manifolds for stochastic partial differential equations in the framework of the variational approach," Statistics & Probability Letters, Elsevier, vol. 217(C).
    • Handle: RePEc:eee:stapro:v:217:y:2025:i:c:s0167715224002517
    DOI: 10.1016/j.spl.2024.110282
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    References listed on IDEAS

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    1. B. Rajeev, 2013. "Translation invariant diffusions in the space of tempered distributions," Indian Journal of Pure and Applied Mathematics, Springer, vol. 44(2), pages 231-258, April.
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