Nonsymmetric systems and area integral estimates
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- by G. C. Verchota and A. L. Vogel PDF
- Proc. Amer. Math. Soc. 128 (2000), 453-462 Request permission
Abstract:
Even though the $L^2$ 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.References
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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
- MR Author ID: 310400
- Email: alvogel@syr.edu
- 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
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 453-462
- MSC (1991): Primary 35J55, 31A25
- DOI: https://doi.org/10.1090/S0002-9939-99-04987-4
- MathSciNet review: 1616585