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The double obstacle problem on non divergence form

Published 20 Sep 2017 in math.AP | (1709.07072v1)

Abstract: We study the regularity of the solution of the double obstacle problem form for fully non linear parabolic and elliptic operators. We show that when the obstacles are sufficiently regular the solution is $C{1,\alpha}$ in the interior for both the parabolic and the elliptic cases.

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