Schauder Estimates for Germs by Scaling
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910894297972736 |
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| author | Sauer, Jonas Smith, Scott A. |
| author_facet | Sauer, Jonas Smith, Scott A. |
| contents | In this expository note, we show that the blow-up arguments of L. Simon adapt well to the corresponding Schauder theory of germs used in the study of singular SPDEs. We illustrate this through some representative examples. As in the classical PDE framework, the argument relies only on the scaling properties of the germ semi-norms and the Liouville principle for the operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_01486 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Schauder Estimates for Germs by Scaling Sauer, Jonas Smith, Scott A. Analysis of PDEs Probability 35B45, 60H17, 60L30, 60L40 In this expository note, we show that the blow-up arguments of L. Simon adapt well to the corresponding Schauder theory of germs used in the study of singular SPDEs. We illustrate this through some representative examples. As in the classical PDE framework, the argument relies only on the scaling properties of the germ semi-norms and the Liouville principle for the operator. |
| title | Schauder Estimates for Germs by Scaling |
| topic | Analysis of PDEs Probability 35B45, 60H17, 60L30, 60L40 |
| url | https://arxiv.org/abs/2412.01486 |