Bounded analyticity of the stokes semigroup on spaces of bounded functions

Matthias Georg Hieber; Paolo Maremonti

doi:10.1007/978-3-0348-0939-9_15

Bounded analyticity of the stokes semigroup on spaces of bounded functions

Matthias Georg Hieber^*, Paolo Maremonti

^*この研究の対応する著者

研究成果: Conference contribution

13 被引用数 (Scopus)

抄録

Let Ω ⊂ ℝⁿ, n ≥ 3, be an exterior domain with smooth boundary. It is shown that the Stokes semigroup on L_σ ^∞(Ω) is a bounded analytic semigroup on this space.

本文言語	English
ホスト出版物のタイトル	Recent Developments of Mathematical Fluid Mechanics
出版社	Springer Verlag
ページ	275-289
ページ数	15
巻	none
ISBN（印刷版）	9783034809382
DOI	https://doi.org/10.1007/978-3-0348-0939-9_15
出版ステータス	Published - 2016
外部発表	はい
イベント	International Conference on Mathematical Fluid Dynamics on the Occasion of Yoshihiro Shibata’s 60th Birthday, 2013 - Nara, Japan 継続期間: 2013 3月 5 → 2013 3月 9

Other

Other	International Conference on Mathematical Fluid Dynamics on the Occasion of Yoshihiro Shibata’s 60th Birthday, 2013
国/地域	Japan
City	Nara
Period	13/3/5 → 13/3/9

ASJC Scopus subject areas

流体および伝熱

文献へのアクセス

10.1007/978-3-0348-0939-9_15

他のファイルとリンク

引用スタイル

Hieber, MG & Maremonti, P 2016, Bounded analyticity of the stokes semigroup on spaces of bounded functions. in Recent Developments of Mathematical Fluid Mechanics. vol. none, Springer Verlag, pp. 275-289, International Conference on Mathematical Fluid Dynamics on the Occasion of Yoshihiro Shibata’s 60th Birthday, 2013, Nara, Japan, 13/3/5. https://doi.org/10.1007/978-3-0348-0939-9_15

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abstract = "Let Ω ⊂ ℝn, n ≥ 3, be an exterior domain with smooth boundary. It is shown that the Stokes semigroup on Lσ ∞(Ω) is a bounded analytic semigroup on this space.",

keywords = "Bounded analytic semigroups, L∞-estimates, Maximum modulus theorem, Stokes semigroup",

author = "Hieber, {Matthias Georg} and Paolo Maremonti",

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AU - Maremonti, Paolo

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KW - L∞-estimates

KW - Maximum modulus theorem

KW - Stokes semigroup

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