Regularity of Electromagnetic Fields in Convex Domains

Verfasser / Beitragende:
[A. Prokhorov, N. Filonov]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 210/6(2015-11-01), 793-813
Format:
Artikel (online)
ID: 605523630
LEADER caa a22 4500
001 605523630
003 CHVBK
005 20210128100750.0
007 cr unu---uuuuu
008 210128e20151101xx s 000 0 eng
024 7 0 |a 10.1007/s10958-015-2591-2  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10958-015-2591-2 
245 0 0 |a Regularity of Electromagnetic Fields in Convex Domains  |h [Elektronische Daten]  |c [A. Prokhorov, N. Filonov] 
520 3 |a In this paper, a "strong” Maxwell operator defined on fields from the Sobolev space W 2 1 , and a "weak” Maxwell operator defined on the natural domain are considered. It is shown that in a convex domain, and, more generally, in a domain that is locally (W 3 2  ∩ W ∞ 1 ) -diffeomorphic to a convex one, the strong and the weak Maxwell operators coincide. Bibliography: 23 titles. 
540 |a Springer Science+Business Media New York, 2015 
700 1 |a Prokhorov  |D A.  |u St.Petersburg State University, St.Petersburg, Russia  |4 aut 
700 1 |a Filonov  |D N.  |u St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg State University, St.Petersburg, Russia  |4 aut 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 210/6(2015-11-01), 793-813  |x 1072-3374  |q 210:6<793  |1 2015  |2 210  |o 10958 
856 4 0 |u https://doi.org/10.1007/s10958-015-2591-2  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10958-015-2591-2  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Prokhorov  |D A.  |u St.Petersburg State University, St.Petersburg, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Filonov  |D N.  |u St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg State University, St.Petersburg, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 210/6(2015-11-01), 793-813  |x 1072-3374  |q 210:6<793  |1 2015  |2 210  |o 10958