A flow approach to the generalized KPZ equation
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866915252686290944 |
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| author | Chandra, Ajay Ferdinand, Léonard |
| author_facet | Chandra, Ajay Ferdinand, Léonard |
| contents | We show that the flow approach of Duch [Duc21] can be adapted to prove local well-posedness for the generalized Kardar-Parisi-Zhang equation. The key step is to extend the flow approach so that it can accommodate semi-linear equations involving smooth, non-polynomial, functions of the solution - this is accomplished by introducing coordinates for the flow built out of elementary differentials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_03101 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A flow approach to the generalized KPZ equation Chandra, Ajay Ferdinand, Léonard Probability Analysis of PDEs We show that the flow approach of Duch [Duc21] can be adapted to prove local well-posedness for the generalized Kardar-Parisi-Zhang equation. The key step is to extend the flow approach so that it can accommodate semi-linear equations involving smooth, non-polynomial, functions of the solution - this is accomplished by introducing coordinates for the flow built out of elementary differentials. |
| title | A flow approach to the generalized KPZ equation |
| topic | Probability Analysis of PDEs |
| url | https://arxiv.org/abs/2402.03101 |