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 › peer-review

13 Citations (Scopus)

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
Pages (from-to)	27-39
Number of pages	13
Journal	Potential Analysis
Volume	52
Issue number	1
DOIs	https://doi.org/10.1007/s11118-018-9729-z
Publication status	Published - 2020 Jan 1

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© 2018, Springer Nature B.V.

All Science Journal Classification (ASJC) codes

Analysis

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title = "Green{\textquoteright}s Function for Second Order Elliptic Equations in Non-divergence Form",

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 C1,1 boundary. We also obtain pointwise bounds for the Green functions and its derivatives.",

keywords = "Dini mean oscillation, Green{\textquoteright}s function, Non-divergent elliptic equation",

author = "Sukjung Hwang and Seick Kim",

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year = "2020",

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doi = "10.1007/s11118-018-9729-z",

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T1 - Green’s Function for Second Order Elliptic Equations in Non-divergence Form

AU - Hwang, Sukjung

AU - Kim, Seick

PY - 2020/1/1

Y1 - 2020/1/1

N2 - 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 C1,1 boundary. We also obtain pointwise bounds for the Green functions and its derivatives.

AB - 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 C1,1 boundary. We also obtain pointwise bounds for the Green functions and its derivatives.

KW - Dini mean oscillation

KW - Green’s function

KW - Non-divergent elliptic equation

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JO - Potential Analysis

JF - Potential Analysis

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

Abstract

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