On the Lq - Lr estimates of the Stokes semigroup in a two dimensional exterior domain

Wakako Dan, Yoshihiro Shibata

Research output: Contribution to journalArticle

35 Citations (Scopus)

Abstract

We proved Lq - Lr type estimates of the Stokes semigroup in a two dimensional exterior domain. Our proof is based on the local energy decay estimate obtained by investigation of the asymptotic behavior of the resolvent of the Stokes operator near the origin.

Original languageEnglish
Pages (from-to)181-207
Number of pages27
JournalJournal of the Mathematical Society of Japan
Volume51
Issue number1
DOIs
Publication statusPublished - 1999 Jan 1

Keywords

  • L — L estimates
  • Stokes semigroup
  • boundary value problem in a two dimensional exterior domain
  • local energy decay
  • low frequency asymptotic behavior

ASJC Scopus subject areas

  • Mathematics(all)

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