Nonsymmetric systems on nonsmooth planar domains

G. C. Verchota; A. L. Vogel

doi:10.1090/s0002-9947-97-02047-3

Nonsymmetric systems on nonsmooth planar domains

G. C. Verchota, A. L. Vogel

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

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 language	English (US)
Pages (from-to)	4501-4535
Number of pages	35
Journal	Transactions of the American Mathematical Society
Volume	349
Issue number	11
DOIs	https://doi.org/10.1090/s0002-9947-97-02047-3
State	Published - 1997

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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title = "Nonsymmetric systems on nonsmooth planar domains",

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.",

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AB - 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.

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