Nonsymmetric systems on nonsmooth planar domains

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Abstract

We study boundary value problems, in the sense of Dahlberg, for second order constant coefficient strongly elliptic systems. In this class are systems without a variational formulation, viz. the nonsymmetric systems. Various similarities and differences between this subclass and the symmetrizable systems are examined in nonsmooth domains. Key words and phrases. Elliptic, bianalytic, weak maximum principle, Rellich identity, boundary value problems, nonvariational.

Original languageEnglish (US)
Pages (from-to)4501-4535
Number of pages35
JournalTransactions of the American Mathematical Society
Volume349
Issue number11
StatePublished - Dec 1 1997

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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