On an $H^r(\curl,\O)$ estimate for a Maxwell-type system in convex domains

Xingfei Xiang

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arXiv · 1901.02174

On an $H^r(\curl,\O)$ estimate for a Maxwell-type system in convex domains

Xingfei Xiang

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Abstract

In bounded convex domains, the regularity estimates of a vector field $\u$ with its $\dv\u$, $\curl\u$ in $L^r$ space and the tangential components or the normal component of $\u$ over the boundary in $L^r$ space, are established for $1<r<\infty$. As an application, we derive an $H^r(\curl,\O)$ estimate for solutions to a Maxwell-type system with an inhomogeneous boundary condition in convex domains.

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Xingfei Xiang. 2019-01-08. On an $H^r(\curl,\O)$ estimate for a Maxwell-type system in convex domains. https://arxiv.org/abs/1901.02174

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