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

Rajeev Bhaskaran and Stefan Tappe

Statistics & Probability Letters, 2025, vol. 217, issue C

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.

Keywords: Stochastic partial differential equation; Variational approach; Continuously embedded Banach spaces; Gelfand triplet; Invariant manifold; Vector field (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1016/j.spl.2024.110282

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