Analyticity of the Stokes semigroup in spaces of bounded functions
Analyticity of the Stokes semigroup in spaces of bounded functions
复制标题
有界函数空间中斯托克斯半群的解析性
DOI：
10.1007/s11511-013-0098-6
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发表时间：
2013
期刊：
影响因子：
3.7
通讯作者：
K. Abe and Y. Giga
中科院分区：
文献类型：
--
作者：
飯田 緑;藤井 聡;内田雅也;中村 浩;鏡 良弘;Bak Su-Min;Kim Eun-Young;島 康洋;岩田久人;K. Abe and Y. Giga
当流体占据的域是有界的或更一般地可接受的（允许对亥姆霍兹分解进行特殊估计）时，具有狄利克雷边界条件的斯托克斯半群的解析性在有界函数空间中成立。证明是基于一个夸大的论证。这是有界函数空间中解析性的第一个证明，该证明已开放了三十多年。
The analyticity of the Stokes semigroup with the Dirichlet boundary condition is established in spaces of bounded functions when the domain occupied with fluid is bounded or more generally admissible which admits a special estimate for the Helmholtz decomposition. The proof is based on a blow-up argument. This is the first proof of the analyticity in spaces of bounded functions which was left open more than thirty years.