Nonsymmetric systems and area integral estimates

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

Even though the L2 Dirichlet problem on Lipschitz domains is not always solvable for nonsymmetric strongly elliptic systems, so that many results and techniques from the symmetric systems are unavailable, there are some similarities with the symmetric systems. We show that the nontangential maximal function and the square function of a solution are equivalent and that there is a Fatou theorem for these solutions.

Original languageEnglish (US)
Pages (from-to)453-462
Number of pages10
JournalProceedings of the American Mathematical Society
Volume128
Issue number2
DOIs
StatePublished - Jan 1 2000

Keywords

  • Area integral
  • Bianalytic
  • Elliptic

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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