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

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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Publication Details

Journal
Statistics & Probability Letters
Published
2024-10-11
DOI
https://doi.org/10.1016/j.spl.2024.110282
Primary Topic
Stochastic processes and financial applications
Type
article
Field-Weighted Citation Impact
0.00

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article

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

B. Rajeev, Stefan Tappe
Statistics & Probability Letters
Stochastic processes and financial applications
article

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

B. Rajeev, Stefan Tappe
article en

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.

Statistics & Probability LettersVol. 217
University of Freiburg (DE), Indian Institute of Science Education and Research Thiruvananthapuram (IN)
Deutsche Forschungsgemeinschaft
Openalex Percentile: Top 76%
Stochastic processes and financial applications
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