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

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

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)291-297
Number of pages7
JournalDiscrete and Continuous Dynamical Systems - Series S
Volume3
Issue number2
DOIs
Publication statusPublished - 2010 Jun
Externally publishedYes

Fingerprint

Stokes Operator
Analytic Semigroup
Stokes Equations
Hermann Von Helmholtz
Unbounded Domain
Regularity
Projection

Keywords

  • Noncompact boundary
  • Stokes equation
  • Unbounded domains

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics
  • Discrete Mathematics and Combinatorics

Cite this

Remarks on the L p-approach to the stokes equation on unbounded domains. / Geissert, Matthias; Heck, Horst; Hieber, Matthias Georg; Sawada, Okihiro.

In: Discrete and Continuous Dynamical Systems - Series S, Vol. 3, No. 2, 06.2010, p. 291-297.

Research output: Contribution to journalArticle

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