Higher-order derivative estimates for the parabolic Lamé system on a smooth bounded domain
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866911537767120896 |
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| author | Furuto, Yoshinori Iwabuchi, Tsukasa |
| author_facet | Furuto, Yoshinori Iwabuchi, Tsukasa |
| contents | We consider the parabolic Lamé system on a bounded domain. We focus on two types of inequalities for higher-order derivatives of solutions. The first is related to an $L^p$-$L^p$ estimate locally in time in the Lebesgue space setting, which includes the endpoint cases $p=1$ and $p=\infty$. The second concerns an equivalent norm of Besov spaces by means of the solution of the parabolic Lamé system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_21593 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Higher-order derivative estimates for the parabolic Lamé system on a smooth bounded domain Furuto, Yoshinori Iwabuchi, Tsukasa Analysis of PDEs 35K40, 35K50, 76N06 We consider the parabolic Lamé system on a bounded domain. We focus on two types of inequalities for higher-order derivatives of solutions. The first is related to an $L^p$-$L^p$ estimate locally in time in the Lebesgue space setting, which includes the endpoint cases $p=1$ and $p=\infty$. The second concerns an equivalent norm of Besov spaces by means of the solution of the parabolic Lamé system. |
| title | Higher-order derivative estimates for the parabolic Lamé system on a smooth bounded domain |
| topic | Analysis of PDEs 35K40, 35K50, 76N06 |
| url | https://arxiv.org/abs/2603.21593 |