Green's function for second order elliptic equations in non-divergence form

Sukjung Hwang; Seick Kim

doi:10.1007/s11118-018-9729-z

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arXiv · 1712.02160

Green's function for second order elliptic equations in non-divergence form

Sukjung Hwang·Seick Kim

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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.

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BibTeX RIS

Sukjung Hwang, Seick Kim. 2018-09-09. Green's function for second order elliptic equations in non-divergence form. https://doi.org/10.1007/s11118-018-9729-z

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