Abstract
Uniqueness is proved for the Dirichlet problem for second order nondivergence form elliptic operators with coefficients continuous except at a countable set of points having at most one accumulation point. Moreover, gradient estimates are proved.
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The authors are partially supported by the National Science Foundation Grant no. NSF/DMS 8421377-04.
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Cerutti, M.C., Escauriaza, L. & Fabes, E.B. Uniqueness in the dirichlet problem for some elliptic operators with discontinuous coefficients. Annali di Matematica pura ed applicata 163, 161–180 (1993). https://doi.org/10.1007/BF01759020
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DOI: https://doi.org/10.1007/BF01759020