$H^2$-regularity of Steklov eigenfunctions on convex domains via Rellich-Pohozaev identity
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910897240276992 |
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| author | Lamberti, Pier Domenico Provenzano, Luigi |
| author_facet | Lamberti, Pier Domenico Provenzano, Luigi |
| contents | We prove that the Steklov eigenfunctions on convex domains of $\mathbb R^n$ are $H^2$ regular by adapting a classical argument combined with the Rellich-Pohozaev identity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_19852 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $H^2$-regularity of Steklov eigenfunctions on convex domains via Rellich-Pohozaev identity Lamberti, Pier Domenico Provenzano, Luigi Analysis of PDEs Spectral Theory 35B65, 35P15, 35P05 We prove that the Steklov eigenfunctions on convex domains of $\mathbb R^n$ are $H^2$ regular by adapting a classical argument combined with the Rellich-Pohozaev identity. |
| title | $H^2$-regularity of Steklov eigenfunctions on convex domains via Rellich-Pohozaev identity |
| topic | Analysis of PDEs Spectral Theory 35B65, 35P15, 35P05 |
| url | https://arxiv.org/abs/2503.19852 |