Nonsymmetric systems and area integral estimates

Verchota, G.; Vogel, A.

doi:10.1090/S0002-9939-99-04987-4

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.

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