Green’s Function for Second Order Elliptic Equations in Non-divergence Form

Sukjung Hwang; Seick Kim

doi:10.1007/s11118-018-9729-z

Green’s Function for Second Order Elliptic Equations in Non-divergence Form

Sukjung Hwang, Seick Kim

Department of Mathematics

Research output: Contribution to journal › Article

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 also obtain pointwise bounds for the Green functions and its derivatives.

Original language	English
Journal	Potential Analysis
DOIs	https://doi.org/10.1007/s11118-018-9729-z
Publication status	Accepted/In press - 2018 Jan 1

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All Science Journal Classification (ASJC) codes

Analysis

Cite this

Hwang, S., & Kim, S. (Accepted/In press). Green’s Function for Second Order Elliptic Equations in Non-divergence Form. Potential Analysis. https://doi.org/10.1007/s11118-018-9729-z

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10.1007/s11118-018-9729-z