On a resolvent estimate of the interface problem for the Stokes system in a bounded domain

Yoshihiro Shibata, Senjo Shimizu

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

Obtained is the Lp estimate of solutions to the resolvent problem for the Stokes system with interface condition in a bounded domain in ℝn. It is the first step to consider the free boundary value problem.

Original languageEnglish
Pages (from-to)408-444
Number of pages37
JournalJournal of Differential Equations
Volume191
Issue number2
DOIs
Publication statusPublished - 2003 Jul 1

Keywords

  • Bounded domain
  • Interface condition
  • L estimate
  • Resolvent problem
  • Stokes system

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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