Resolvent Estimates in Lp for Elliptic Systems in Lipschitz Domains

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27 Scopus citations

Abstract

We obtain the Lp resolvent estimates in Lipschitz domains in Rn for constant coefficient elliptic systems satisfying the Legendre-Hadamard condition, where 1 ≤ p ≤∞ for n = 3; and 2n/(n + 3) - δ < p < 2n/(n - 3) + δ for n ≥ 4 and some δ = δ(Ω) > 0.

Original languageEnglish
Pages (from-to)224-251
Number of pages28
JournalJournal of Functional Analysis
Volume133
Issue number1
DOIs
StatePublished - 1995

ASJC Scopus subject areas

  • Analysis

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