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

Mathematics – Analysis of PDEs

Scientific paper

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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 $x$.

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