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arXiv · 2405.19926

Invariant Measure for Linear Stochastic PDEs in the space of Tempered distributions

Arvind Kumar Nath
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Abstract

In this paper, we first explore exponential stability by using Monotonicity inequality and use this information to obtain the existence of Invariant measure for linear Stochastic PDEs with potential in the space of tempered distributions. The uniqueness of Invariant Measure follows from Monotonicity inequality.

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Arvind Kumar Nath. 2024-05-30. Invariant Measure for Linear Stochastic PDEs in the space of Tempered distributions. https://arxiv.org/abs/2405.19926

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