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Second‐order elliptic and parabolic equations with BMO coefficients in the whole space
Author(s) -
Yao Fengping
Publication year - 2011
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1463
Subject(s) - mathematics , corollary , parabolic partial differential equation , divergence (linguistics) , mathematical analysis , space (punctuation) , order (exchange) , pure mathematics , partial differential equation , linguistics , philosophy , finance , economics
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 L p ‐type regularity estimates for such equations. Copyright © 2011 John Wiley & Sons, Ltd.