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Nonsymmetric Systems and Area Integral Estimates
G. C. Verchota and A. L. Vogel
Proceedings of the American Mathematical Society
Vol. 128, No. 2 (Feb., 2000), pp. 453-462
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/119910
Page Count: 10
You can always find the topics here!Topics: Mathematical functions, Mathematical integrals, Mathematical inequalities, Cylinders, Dirichlet problem, Mathematical theorems, Ellipticity, Solvability, Boundary value problems, Mathematics
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Even though the L2 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.
Proceedings of the American Mathematical Society © 2000 American Mathematical Society