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 |
| State | Published - Dec 1 1997 |
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics
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Verchota, G. C., & Vogel, A. L. (1997). Nonsymmetric systems on nonsmooth planar domains. Transactions of the American Mathematical Society, 349(11), 4501-4535.