Invariant elliptic estimates

Yonggeun Cho; Tohru Ozawa; Yong Sun Shim

doi:10.1016/j.jmaa.2011.04.035

Invariant elliptic estimates

Yonggeun Cho^*, Tohru Ozawa, Yong Sun Shim

^*Corresponding author for this work

School of Advanced Science and Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we revisit elliptic estimates invariant under domain expansion. We improve the invariant elliptic estimates in the previous paper [Y. Cho, T. Ozawa, Y. Shim, Calc. Var. PDE 34 (2009) 321-339] via gradient estimate and discuss an application to the Lamé system.

Original language	English
Pages (from-to)	162-171
Number of pages	10
Journal	Journal of Mathematical Analysis and Applications
Volume	382
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2011.04.035
Publication status	Published - 2011 Oct 1

Keywords

Domain expansion
Gradient estimate
Invariant elliptic estimates
Lamé system

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2011.04.035

Cite this

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title = "Invariant elliptic estimates",

abstract = "In this paper, we revisit elliptic estimates invariant under domain expansion. We improve the invariant elliptic estimates in the previous paper [Y. Cho, T. Ozawa, Y. Shim, Calc. Var. PDE 34 (2009) 321-339] via gradient estimate and discuss an application to the Lam{\'e} system.",

keywords = "Domain expansion, Gradient estimate, Invariant elliptic estimates, Lam{\'e} system",

author = "Yonggeun Cho and Tohru Ozawa and Shim, {Yong Sun}",

note = "Funding Information: The authors would like to thank Professor H. Kim and the referee for their comments which improve the presentation of this paper. Section 3 was added according to the suggestion of the referee. The first author was supported by research funds of Chonbuk National University in 2009.",

year = "2011",

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day = "1",

doi = "10.1016/j.jmaa.2011.04.035",

language = "English",

volume = "382",

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journal = "Journal of Mathematical Analysis and Applications",

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T1 - Invariant elliptic estimates

AU - Cho, Yonggeun

AU - Ozawa, Tohru

AU - Shim, Yong Sun

N1 - Funding Information: The authors would like to thank Professor H. Kim and the referee for their comments which improve the presentation of this paper. Section 3 was added according to the suggestion of the referee. The first author was supported by research funds of Chonbuk National University in 2009.

PY - 2011/10/1

Y1 - 2011/10/1

N2 - In this paper, we revisit elliptic estimates invariant under domain expansion. We improve the invariant elliptic estimates in the previous paper [Y. Cho, T. Ozawa, Y. Shim, Calc. Var. PDE 34 (2009) 321-339] via gradient estimate and discuss an application to the Lamé system.

AB - In this paper, we revisit elliptic estimates invariant under domain expansion. We improve the invariant elliptic estimates in the previous paper [Y. Cho, T. Ozawa, Y. Shim, Calc. Var. PDE 34 (2009) 321-339] via gradient estimate and discuss an application to the Lamé system.

KW - Domain expansion

KW - Gradient estimate

KW - Invariant elliptic estimates

KW - Lamé system

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VL - 382

SP - 162

EP - 171

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Invariant elliptic estimates

Abstract

Keywords

ASJC Scopus subject areas

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