Remarks on the L p-approach to the stokes equation on unbounded domains

Matthias Geissert; Horst Heck; Matthias Georg Hieber; Okihiro Sawada

doi:10.3934/dcdss.2010.3.291

Remarks on the L p-approach to the stokes equation on unbounded domains

Matthias Geissert^*, Horst Heck, Matthias Georg Hieber, Okihiro Sawada

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

Consider a domain ω ℝ ⁿ with uniform C ³-boundary and as-sume that the Helmholtz projection P exists on L ^p(ω) for some 1 <p <1. Of concern are recent results on the Stokes operator in L ^p(ω) generating an analytic semigroup on L ^p(ω) and admitting maximal Lp-Lq-regularity.

Original language	English
Pages (from-to)	291-297
Number of pages	7
Journal	Discrete and Continuous Dynamical Systems - Series S
Volume	3
Issue number	2
DOIs	https://doi.org/10.3934/dcdss.2010.3.291
Publication status	Published - 2010 Jun
Externally published	Yes

Keywords

Noncompact boundary
Stokes equation
Unbounded domains

ASJC Scopus subject areas

Analysis
Applied Mathematics
Discrete Mathematics and Combinatorics

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10.3934/dcdss.2010.3.291

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title = "Remarks on the L p-approach to the stokes equation on unbounded domains",

abstract = "Consider a domain ω ℝ n with uniform C 3-boundary and as-sume that the Helmholtz projection P exists on L p(ω) for some 1 p(ω) generating an analytic semigroup on L p(ω) and admitting maximal Lp-Lq-regularity.",

keywords = "Noncompact boundary, Stokes equation, Unbounded domains",

author = "Matthias Geissert and Horst Heck and Hieber, {Matthias Georg} and Okihiro Sawada",

year = "2010",

month = jun,

doi = "10.3934/dcdss.2010.3.291",

language = "English",

volume = "3",

pages = "291--297",

journal = "Discrete and Continuous Dynamical Systems - Series S",

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AU - Geissert, Matthias

AU - Heck, Horst

AU - Hieber, Matthias Georg

AU - Sawada, Okihiro

PY - 2010/6

Y1 - 2010/6

N2 - Consider a domain ω ℝ n with uniform C 3-boundary and as-sume that the Helmholtz projection P exists on L p(ω) for some 1 p(ω) generating an analytic semigroup on L p(ω) and admitting maximal Lp-Lq-regularity.

AB - Consider a domain ω ℝ n with uniform C 3-boundary and as-sume that the Helmholtz projection P exists on L p(ω) for some 1 p(ω) generating an analytic semigroup on L p(ω) and admitting maximal Lp-Lq-regularity.

KW - Noncompact boundary

KW - Stokes equation

KW - Unbounded domains

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DO - 10.3934/dcdss.2010.3.291

M3 - Article

AN - SCOPUS:84862117150

SN - 1937-1632

VL - 3

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EP - 297

JO - Discrete and Continuous Dynamical Systems - Series S

JF - Discrete and Continuous Dynamical Systems - Series S

IS - 2

ER -

Remarks on the L p-approach to the stokes equation on unbounded domains

Abstract

Keywords

ASJC Scopus subject areas

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