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Second-order elliptic and parabolic equations with BMO coefficients in the whole space

Second-order elliptic and parabolic equations with BMO coefficients in the whole space

In this paper, we obtain the global regularity estimates in Orlicz spaces for second-order divergence elliptic and parabolic equations with BMO coefficients in the whole space. In fact, the global result can follow from the local estimates. As a corollary we obtain Lp-type regularity estimates for such equations. Copyright © …