Quantitative uniqueness estimates for stochastic parabolic equations on the whole Euclidean space
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914685975003136 |
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| author | Liu, Yuanhang Yang, Donghui Zeng, Xingwu Zhang, Can |
| author_facet | Liu, Yuanhang Yang, Donghui Zeng, Xingwu Zhang, Can |
| contents | In this paper, a quantitative estimate of unique continuation for the stochastic heat equation with bounded potentials on the whole Euclidean space is established. This paper generalizes the earlier results in [29] and [17] from a bounded domain to an unbounded one. The proof is based on the locally parabolic-type frequency function method. An observability estimate from measurable sets in time for the same equation is also derived. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_12703 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantitative uniqueness estimates for stochastic parabolic equations on the whole Euclidean space Liu, Yuanhang Yang, Donghui Zeng, Xingwu Zhang, Can Analysis of PDEs Optimization and Control 60H15, 93B05 In this paper, a quantitative estimate of unique continuation for the stochastic heat equation with bounded potentials on the whole Euclidean space is established. This paper generalizes the earlier results in [29] and [17] from a bounded domain to an unbounded one. The proof is based on the locally parabolic-type frequency function method. An observability estimate from measurable sets in time for the same equation is also derived. |
| title | Quantitative uniqueness estimates for stochastic parabolic equations on the whole Euclidean space |
| topic | Analysis of PDEs Optimization and Control 60H15, 93B05 |
| url | https://arxiv.org/abs/2402.12703 |