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arXiv:1005.5208 [math.AP]AbstractReferencesReviewsResources

Global regularity of weak solutions to quasilinear elliptic and parabolic equations with controlled growth

Hongjie Dong, Doyoon Kim

Published 2010-05-28Version 1

We establish global regularity for weak solutions to quasilinear divergence form elliptic and parabolic equations over Lipschitz domains with controlled growth conditions on low order terms. The leading coefficients belong to the class of BMO functions with small mean oscillations with respect to $x$.

Comments: 24 pages, to be submitted
Journal: Communications in Partial Differential Equations, Volume 36, Issue 10, 2011
Categories: math.AP
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