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