Nonsymmetric systems

and area integral estimates

Authors:
G. C. Verchota and A. L. Vogel

Journal:
Proc. Amer. Math. Soc. **128** (2000), 453-462

MSC (1991):
Primary 35J55, 31A25

Published electronically:
September 27, 1999

MathSciNet review:
1616585

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Abstract | References | Similar Articles | Additional Information

Abstract: Even though the 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.

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Additional Information

**G. C. Verchota**

Affiliation:
Department of Mathematics, Syracuse University, Syracuse, New York 13244

**A. L. Vogel**

Affiliation:
Department of Mathematics, Syracuse University, Syracuse, New York 13244

Email:
alvogel@syr.edu

DOI:
http://dx.doi.org/10.1090/S0002-9939-99-04987-4

Keywords:
Elliptic,
bianalytic,
area integral

Received by editor(s):
September 16, 1997

Received by editor(s) in revised form:
March 16, 1998

Published electronically:
September 27, 1999

Additional Notes:
The first author was partially supported by NSF Grant DMS-9706648.

Communicated by:
Christopher D. Sogge

Article copyright:
© Copyright 1999
American Mathematical Society