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

2 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

Bibliographical note

Funding Information:
S. Kim is partially supported by National Research Foundation of Korea (NRF) Grant No. NRF-2016R1D1A1B03931680 and No. NRF-20151009350. S. Hwang is partially supported by the Yonsei University Research Fund (Post Doc. Researcher Supporting Program) of 2017 (project no.: 2017-12-0031).

Publisher Copyright:
© 2018, Springer Nature B.V.

All Science Journal Classification (ASJC) codes

Analysis

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10.1007/s11118-018-9729-z

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

author = "Sukjung Hwang and Seick Kim",

note = "Funding Information: S. Kim is partially supported by National Research Foundation of Korea (NRF) Grant No. NRF-2016R1D1A1B03931680 and No. NRF-20151009350. S. Hwang is partially supported by the Yonsei University Research Fund (Post Doc. Researcher Supporting Program) of 2017 (project no.: 2017-12-0031). Publisher Copyright: {\textcopyright} 2018, Springer Nature B.V.",

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

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AU - Kim, Seick

N1 - Funding Information: S. Kim is partially supported by National Research Foundation of Korea (NRF) Grant No. NRF-2016R1D1A1B03931680 and No. NRF-20151009350. S. Hwang is partially supported by the Yonsei University Research Fund (Post Doc. Researcher Supporting Program) of 2017 (project no.: 2017-12-0031). Publisher Copyright: © 2018, Springer Nature B.V.

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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.

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

Abstract

Bibliographical note

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