Authors
Citation
Hm. Yin, On a singular limit problem for nonlinear Maxwell's equations, J DIFF EQUA, 156(2), 1999, pp. 355-375
Citations number
17
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN journal
00220396
→ ACNP
Volume
156
Issue
2
Year of publication
1999
Pages
355 - 375
Database
ISI
SICI code
0022-0396(19990810)156:2<355:OASLPF>2.0.ZU;2-Z
Abstract
In this paper we study the following nonlinear Maxwell's equations, epsilon
E-t + sigma(x, \E\)E = del x H + F, H-t + del x E = 0, where sigma(x, s) i
s a monotone graph of s. It is shown that the system has a unique weak solu
tion. Moreover, the limit of the solution as epsilon --> 0 converges to the
solution of quasi-stationary Maxwell's equations. (C) 1999 Academic Press.