The L∞-Stokes semigroup in exterior domains
The L∞-Stokes semigroup in exterior domains
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DOI：
10.1007/s00028-013-0197-z
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发表时间：
2012-06
影响因子：
1.4
通讯作者：
K. Abe;Y. Giga
中科院分区：
文献类型：
--
作者：
K. Abe;Y. Giga
有界域上的Stokes半群是有界函数空间上的解析半群，最近作者基于线性Stokes方程解的优先L-∞估计证明了这一点。在这篇文章中，我们将我们的方法推广到外部区域，并证明了在有界函数空间上，Stokes半群是唯一可扩张到解析半群的。
The Stokes semigroup on a bounded domain is an analytic semigroup on spaces of bounded functions as was recently shown by the authors based on an a prioriL∞-estimate for solutions to the linear Stokes equations. In this paper, we extend our approach to exterior domains and prove that the Stokes semigroup is uniquely extendable to an analytic semigroup on spaces of bounded functions.