On the regularity of solutions to a parabolic system related to Maxwell's equations

Kyungkeun Kang; Seick Kim; Aurelia Minut

doi:10.1016/j.jmaa.2004.06.009

On the regularity of solutions to a parabolic system related to Maxwell's equations

Kyungkeun Kang, Seick Kim, Aurelia Minut

Department of Mathematics

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

3 Citations (Scopus)

Abstract

The goal of this paper is to establish Hölder estimates for the solutions of a certain parabolic system related to Maxwell's equations arising in a quasi-stationary electromagnetic field.

Original language	English
Pages (from-to)	89-99
Number of pages	11
Journal	Journal of Mathematical Analysis and Applications
Volume	299
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2004.06.009
Publication status	Published - 2004 Nov 1

Bibliographical note

Funding Information:
* Corresponding author. E-mail addresses: [email protected] (K. Kang), [email protected] (S. Kim), [email protected] (A. Minut). URL: http://www.pims.math.ca/~kkang (K. Kang). 1 Supported in part by NSF Grant DMS-9877055. 2 Supported in part by NSF Grant DMS-9971052.

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1016/j.jmaa.2004.06.009

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title = "On the regularity of solutions to a parabolic system related to Maxwell's equations",

abstract = "The goal of this paper is to establish H{\"o}lder estimates for the solutions of a certain parabolic system related to Maxwell's equations arising in a quasi-stationary electromagnetic field.",

keywords = "Interior regularity, Maxwell's equations, Measurable coefficients",

author = "Kyungkeun Kang and Seick Kim and Aurelia Minut",

note = "Funding Information: * Corresponding author. E-mail addresses: [email protected] (K. Kang), [email protected] (S. Kim), [email protected] (A. Minut). URL: http://www.pims.math.ca/~kkang (K. Kang). 1 Supported in part by NSF Grant DMS-9877055. 2 Supported in part by NSF Grant DMS-9971052.",

year = "2004",

month = nov,

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doi = "10.1016/j.jmaa.2004.06.009",

language = "English",

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journal = "Journal of Mathematical Analysis and Applications",

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T1 - On the regularity of solutions to a parabolic system related to Maxwell's equations

AU - Kang, Kyungkeun

AU - Kim, Seick

AU - Minut, Aurelia

N1 - Funding Information: * Corresponding author. E-mail addresses: [email protected] (K. Kang), [email protected] (S. Kim), [email protected] (A. Minut). URL: http://www.pims.math.ca/~kkang (K. Kang). 1 Supported in part by NSF Grant DMS-9877055. 2 Supported in part by NSF Grant DMS-9971052.

PY - 2004/11/1

Y1 - 2004/11/1

N2 - The goal of this paper is to establish Hölder estimates for the solutions of a certain parabolic system related to Maxwell's equations arising in a quasi-stationary electromagnetic field.

AB - The goal of this paper is to establish Hölder estimates for the solutions of a certain parabolic system related to Maxwell's equations arising in a quasi-stationary electromagnetic field.

KW - Interior regularity

KW - Maxwell's equations

KW - Measurable coefficients

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ER -

On the regularity of solutions to a parabolic system related to Maxwell's equations

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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