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

Rajeev Bhaskaran; Stefan Tappe

doi:10.1016/j.spl.2024.110282

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arXiv · 2309.03823

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

Rajeev Bhaskaran·Stefan Tappe

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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.

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Rajeev Bhaskaran, Stefan Tappe. 2023-09-07. A note on invariant manifolds for stochastic partial differential equations in the framework of the variational approach. https://doi.org/10.1016/j.spl.2024.110282

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