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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.19926 |
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| _version_ | 1866914816567803904 |
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| author | Nath, Arvind Kumar |
| author_facet | Nath, Arvind Kumar |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_19926 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Invariant Measure for Linear Stochastic PDEs in the space of Tempered distributions Nath, Arvind Kumar Probability 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. |
| title | Invariant Measure for Linear Stochastic PDEs in the space of Tempered distributions |
| topic | Probability |
| url | https://arxiv.org/abs/2405.19926 |