Regularity structures for quasilinear singular SPDEs
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866909285346181120 |
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| author | Bailleul, I. Hoshino, M. Kusuoka, S. |
| author_facet | Bailleul, I. Hoshino, M. Kusuoka, S. |
| contents | We prove the well-posed character of a regularity structure formulation of the quasilinear generalized (KPZ) equation and give an explicit form for a renormalized equation in the full subcritical regime. Under the assumption that the BPHZ models associated with a non-translation invariant operator converge, we obtain a convergence result for the solutions of the regularized renormalized equations. This conditional result covers the spacetime white noise case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_05025 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Regularity structures for quasilinear singular SPDEs Bailleul, I. Hoshino, M. Kusuoka, S. Probability Analysis of PDEs We prove the well-posed character of a regularity structure formulation of the quasilinear generalized (KPZ) equation and give an explicit form for a renormalized equation in the full subcritical regime. Under the assumption that the BPHZ models associated with a non-translation invariant operator converge, we obtain a convergence result for the solutions of the regularized renormalized equations. This conditional result covers the spacetime white noise case. |
| title | Regularity structures for quasilinear singular SPDEs |
| topic | Probability Analysis of PDEs |
| url | https://arxiv.org/abs/2209.05025 |