Stokes Resolvent Estimates in Spaces of Bounded Functions
Stokes Resolvent Estimates in Spaces of Bounded Functions
复制标题
DOI：
10.24033/asens.2251
复制
发表时间：
2012-11
影响因子：
1.9
通讯作者：
K. Abe;Y. Giga;Matthias Hieber
中科院分区：
文献类型：
--
作者：
K. Abe;Y. Giga;Matthias Hieber
我们直接证明了有界函数空间中斯托克斯半群的解析性。最近，第一作者和第二作者对一类称为严格可接受域（包括有界域和外部域）的域的间接论证证明了这一点。援引严格可采性，我们的方法基于对 K. Masuda (1972) 和 H. B. Stewart (1974) 引入的一般椭圆算子的标准解析估计方法的调整。解析方法特别阐明了扇形区域，Re z > 0 对于 z ∈ C，其中斯托克斯半群在有界函数空间中具有解析延拓。
We give a direct proof for the analyticity of the Stokes semigroup in spaces of bounded functions. This was recently proved by an indirect argument by the first and second authors for a class of domains called strictly admissible domains including bounded and exterior domains. Invoking the strictly admissibility, our approach is based on an adjustment of a standard resolvent estimate method for general elliptic operators introduced by K. Masuda (1972) and H. B. Stewart (1974). The resolvent approach in particular clarifies the sectorial region, Re z > 0 for z ∈ C for which the Stokes semigroup has an analytic continuation in spaces of bounded functions.