A semigroup approach to the reconstruction theorem and the multilevel Schauder estimate for singular modelled distributions
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929749876539392 |
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| author | Hoshino, Masato Takano, Ryoji |
| author_facet | Hoshino, Masato Takano, Ryoji |
| contents | We extend the semigroup approach used in [23,21] to provide alternative proofs of the reconstruction theorem and the multilevel Schauder estimate for singular modelled distributions. As an application of them, we construct the local-in-time solution of the two dimensional parabolic Anderson model with a non-translation invariant differential operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_04322 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A semigroup approach to the reconstruction theorem and the multilevel Schauder estimate for singular modelled distributions Hoshino, Masato Takano, Ryoji Probability Analysis of PDEs We extend the semigroup approach used in [23,21] to provide alternative proofs of the reconstruction theorem and the multilevel Schauder estimate for singular modelled distributions. As an application of them, we construct the local-in-time solution of the two dimensional parabolic Anderson model with a non-translation invariant differential operator. |
| title | A semigroup approach to the reconstruction theorem and the multilevel Schauder estimate for singular modelled distributions |
| topic | Probability Analysis of PDEs |
| url | https://arxiv.org/abs/2408.04322 |