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AUTHOR Lee, Ki-Ahm
TITLE Nondivergence elliptic and parabolic problems with irregular obstacles
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JOURNAL MATHEMATISCHE ZEITSCHRIFT, 2018
ABSTRACT We prove the natural weighted Calderon and Zygmund estimates for solutions to elliptic and parabolic obstacle problems in nondivergence form with discontinuous coefficients and irregular obstacles. We also obtain Morrey regularity results for the Hessian of the solutions and Holder continuity of the gradient of the solutions.
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