Mathematics – Analysis of PDEs
Scientific paper
2010-05-28
Communications in Partial Differential Equations, Volume 36, Issue 10, 2011
Mathematics
Analysis of PDEs
24 pages, to be submitted
Scientific paper
10.1080/03605302.2011.571746
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 $x$.
Dong Hongjie
Kim Doyoon
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