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Second‐order elliptic and parabolic equations with BMO coefficients in the whole space
Authors:Fengping Yao
Affiliation:Department of Mathematics, Shanghai University, Shanghai 200436, People's Republic of China
Abstract: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 © 2011 John Wiley & Sons, Ltd.
Keywords:Orlicz spaces  second‐order  divergence  elliptic, parabolic  small BMO, the whole space
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