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arXiv · 2603.21593

Higher-order derivative estimates for the parabolic Lam\'{e} system on a smooth bounded domain

Yoshinori Furuto·Tsukasa Iwabuchi
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Abstract

We consider the parabolic Lam\'{e} 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 Lam\'{e} system.

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Yoshinori Furuto, Tsukasa Iwabuchi. 2026-03-23. Higher-order derivative estimates for the parabolic Lam\'{e} system on a smooth bounded domain. https://arxiv.org/abs/2603.21593

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