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math.AP2015★ 31 cited
On an elliptic equation arising from composite materials
Hongjie Dong, Hong Zhang
In this paper, we derive an interior Schauder estimate for the divergence form elliptic equation \begin{equation*} D_i(a(x)D_iu)=D_if_i \end{equation*} in , where $a(…
math.AP2015★ 3 cited
Neumann problem for non-divergence elliptic and parabolic equations with BMO coefficients in weighted Sobolev spaces
Hongjie Dong, Doyoon Kim, Hong Zhang
We prove the unique solvability in weighted Sobolev spaces of non-divergence form elliptic and parabolic equations on a half space with the homogeneous Neumann boundary condition.…