Quasi-generalised KPZ equation
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929376808927232 |
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| author | Bruned, Yvain Gerencsér, Máté Nadeem, Usama |
| author_facet | Bruned, Yvain Gerencsér, Máté Nadeem, Usama |
| contents | We derive the renormalised equation for the quasi-generalised KPZ equation with space-time white noise. We complement the program initiated by Gerencsér and Hairer for solving quasi-linear equations using regularity structures by an algebraic machinery that gives a systematic tool to remove non-local counterterms and provide a precise expression of the renormalised equation that is consistent with the semilinear case. The solution theory satisfies the chain rule and a natural notion of Itô isometry, which can be combined to obtain global in time solution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_13620 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quasi-generalised KPZ equation Bruned, Yvain Gerencsér, Máté Nadeem, Usama Probability Analysis of PDEs We derive the renormalised equation for the quasi-generalised KPZ equation with space-time white noise. We complement the program initiated by Gerencsér and Hairer for solving quasi-linear equations using regularity structures by an algebraic machinery that gives a systematic tool to remove non-local counterterms and provide a precise expression of the renormalised equation that is consistent with the semilinear case. The solution theory satisfies the chain rule and a natural notion of Itô isometry, which can be combined to obtain global in time solution. |
| title | Quasi-generalised KPZ equation |
| topic | Probability Analysis of PDEs |
| url | https://arxiv.org/abs/2401.13620 |