On the best constant in {G}affney inequality
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2017
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| _version_ | 1866912301907443712 |
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| author | Csato, Gyula Dacorogna, Bernard Sil, Swarnendu |
| author_facet | Csato, Gyula Dacorogna, Bernard Sil, Swarnendu |
| contents | We discuss the value of the best constant in Gaffney inequality namely
$$ \lVert \nabla ω\rVert_{L^{2}}^{2}\leq C\left( \lVert dω\rVert_{L^{2}}^{2}+\lVert δω\rVert_{L^{2}% }^{2}+\lVert ω\rVert_{L^{2}}^{2}\right) $$ when either $ν\wedgeω=0$ or $ν\,\lrcorner\,ω=0$ on $\partialΩ.$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1712_04875 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | On the best constant in {G}affney inequality Csato, Gyula Dacorogna, Bernard Sil, Swarnendu Functional Analysis We discuss the value of the best constant in Gaffney inequality namely $$ \lVert \nabla ω\rVert_{L^{2}}^{2}\leq C\left( \lVert dω\rVert_{L^{2}}^{2}+\lVert δω\rVert_{L^{2}% }^{2}+\lVert ω\rVert_{L^{2}}^{2}\right) $$ when either $ν\wedgeω=0$ or $ν\,\lrcorner\,ω=0$ on $\partialΩ.$ |
| title | On the best constant in {G}affney inequality |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/1712.04875 |