Resolvent Estimates in L^p for the Stokes Operator in Lipschitz Domains

• 作 者: Zhongwei Shen
• 机 构: UniversityofKentucky,USA
• 出 处: 2012调和分析及其应用国际会议(International Conference on Harmonic Analys
• 发表日期: 2012年5期

　　We establish the L^p resolvent estimates for the Stokes operator in Lipschitz domains for certain ranges of ps.The result,in particular,implies that the Stokes operator in a three-dimensional Lipschitz domain generates a bounded analytic semigroup in L^p for p between 3/2 and 3.This gives an affirmative answer to a conjecture of M.Taylor.