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| Estimates for Green's Functions of Elliptic Equations in Non-Divergence Form with Continuous Coefficients |
| Seick Kim |
| (Department of Mathematics, Yonsei University, 50 Yonsei-ro,
Seodaemun-gu, Seoul 03722, Republic of Korea) |
| DOI： |
| Abstract: |
| We present a new method for the existence and pointwise estimates
of a Green's function of non-divergence form elliptic operator with Dini mean oscillation
coe cients. We also present a sharp comparison with the corresponding
Green's function for constant coe cients equations. |
| Key words: Green's function, Elliptic equations in nondivergence form, Dini mean oscillation coefficients |