Area integral estimates for solutions and normalized adjoint solutions to nondivergence form elliptic equations |
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Authors: | L Escauriaza C E Kenig |
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Institution: | (1) Department of Mathematics, University of Chicago, 5734 University Avenue, 60637 Chicago, IL, U.S.A. |
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Abstract: | We show that theL
p
norms, 0<p<∞, of the nontangenital maximal function and area integral of solutions and normalized adjoint solutions to second order
nondivergence form elliptic equations, are comparable when integrated on the boundary of a Lipschitz domain with respect to
measures, which are respectivelyA
∞ with respect to the corresponding harmonic measure or normalized harmonic measure.
Both authors are supported by NSF |
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Keywords: | |
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