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

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

13 Citations (Scopus)

Abstract

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.

Original language	English
Title of host publication	Recent Developments of Mathematical Fluid Mechanics
Publisher	Springer Verlag
Pages	275-289
Number of pages	15
Volume	none
ISBN (Print)	9783034809382
DOIs	https://doi.org/10.1007/978-3-0348-0939-9_15
Publication status	Published - 2016
Externally published	Yes
Event	International Conference on Mathematical Fluid Dynamics on the Occasion of Yoshihiro Shibata’s 60th Birthday, 2013 - Nara, Japan Duration: 2013 Mar 5 → 2013 Mar 9

Other

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

Keywords

Bounded analytic semigroups
L∞-estimates
Maximum modulus theorem
Stokes semigroup

ASJC Scopus subject areas

Fluid Flow and Transfer Processes

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

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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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title = "Bounded analyticity of the stokes semigroup on spaces of bounded functions",

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",

year = "2016",

doi = "10.1007/978-3-0348-0939-9_15",

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AU - Hieber, Matthias Georg

AU - Maremonti, Paolo

PY - 2016

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N2 - 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.

AB - 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.

KW - Bounded analytic semigroups

KW - L∞-estimates

KW - Maximum modulus theorem

KW - Stokes semigroup

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AN - SCOPUS:84964238150

SN - 9783034809382

VL - none

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EP - 289

BT - Recent Developments of Mathematical Fluid Mechanics

PB - Springer Verlag

T2 - International Conference on Mathematical Fluid Dynamics on the Occasion of Yoshihiro Shibata’s 60th Birthday, 2013

Y2 - 5 March 2013 through 9 March 2013

ER -

Bounded analyticity of the stokes semigroup on spaces of bounded functions

Abstract

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Keywords

ASJC Scopus subject areas

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