On the tangential gradient of the kernel of the double layer potential
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866911769843204096 |
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| author | de Cristoforis, M. Lanza |
| author_facet | de Cristoforis, M. Lanza |
| contents | In this paper we consider an elliptic operator with constant coefficients and we estimate the maximal function of the tangential gradient of the kernel of the double layer potential with respect to its first variable. As a consequence, we deduce the validity of a continuity property of the double layer potential in Hölder spaces on the boundary that extends previous results for the Laplace operator and for the Helmholtz operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_04153 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the tangential gradient of the kernel of the double layer potential de Cristoforis, M. Lanza Analysis of PDEs 31B10 In this paper we consider an elliptic operator with constant coefficients and we estimate the maximal function of the tangential gradient of the kernel of the double layer potential with respect to its first variable. As a consequence, we deduce the validity of a continuity property of the double layer potential in Hölder spaces on the boundary that extends previous results for the Laplace operator and for the Helmholtz operator. |
| title | On the tangential gradient of the kernel of the double layer potential |
| topic | Analysis of PDEs 31B10 |
| url | https://arxiv.org/abs/2307.04153 |