| Abstract: |
| We construct the Green function for second order elliptic equations in non-divergence form when the mean oscillations of the coefficients satisfy the Dini condition and the domain has $C^{1,1}$ boundary.
We show that the Green`s function is BMO in the domain and establish logarithmic pointwise bounds.
We also obtain pointwise bounds for first and second derivatives of the Green`s function. |
|