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arXiv · 1005.5208

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

Hongjie Dong·Doyoon Kim
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Abstract

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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Hongjie Dong, Doyoon Kim. 2010-05-28. Global regularity of weak solutions to quasilinear elliptic and parabolic equations with controlled growth. https://doi.org/10.1080/03605302.2011.571746

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