Maximal L1-Regularity of Generators for Bounded Analytic Semigroups in Banach Spaces

被引：0
作者：
Myong-Hwan Ri
Reinhard Farwig
机构：
[1] State Academy of Sciences,Institute of Mathematics
[2] Darmstadt University of Technology,Department of Mathematics
来源：
Acta Mathematica Scientia | 2022年 / 42卷
关键词：
Maximal ; -regularity; sectorial operator; Stokes operator; 35K90; 46B70; 47D06;
D O I：
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学科分类号：
摘要：
In this paper, we prove that the generator of any bounded analytic semigroup in (θ, 1)-type real interpolation of its domain and underlying Banach space has maximal L1-regularity, using a duality argument combined with the result of maximal continuous regularity. As an application, we consider maximal L1-regularity of the Dirichlet-Laplacian and the Stokes operator in inhomogeneous Bq,1s-type Besov spaces on domains of ℝn, n ≥ 2.
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页码：1261 / 1272
页数：11
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