W1,p Regularity of Weak Solutions to Maxwell’s Equations
Author
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-23
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
In this paper, we study the steady-state Maxwell’s equations.
The weak solution defined in weak formulation is considered, and the global existence is obtained in general bounded open domain.
The interior W1,p2≤p<∞ estimates of the weak solution are obtained, where the coefficient matrix is assumed to be BMO with small seminorm.
The main analytical tools are the Vitali covering lemma, the maximal function technique, and the compactness method.
We also consider the time-harmonic Maxwell’s equations and obtain the interior W1,p estimates.
American Psychological Association (APA)
Chen, Zhihong. 2020. W1,p Regularity of Weak Solutions to Maxwell’s Equations. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1187974
Modern Language Association (MLA)
Chen, Zhihong. W1,p Regularity of Weak Solutions to Maxwell’s Equations. Journal of Mathematics No. 2020 (2020), pp.1-8.
https://search.emarefa.net/detail/BIM-1187974
American Medical Association (AMA)
Chen, Zhihong. W1,p Regularity of Weak Solutions to Maxwell’s Equations. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1187974
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1187974