LOCAL EXISTENCE OF SOLUTIONS OF IMPEDANCE INITIAL-BOUNDARY VALUE-PROBLEM FOR NONLINEAR MAXWELL EQUATIONS

Authors
PICARD RH ZAJACZKOWSKI WM
Citation
Rh. Picard et Wm. Zajaczkowski, LOCAL EXISTENCE OF SOLUTIONS OF IMPEDANCE INITIAL-BOUNDARY VALUE-PROBLEM FOR NONLINEAR MAXWELL EQUATIONS, Mathematical methods in the applied sciences, 18(3), 1995, pp. 169-199
Citations number
14
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics
Journal title
Mathematical methods in the applied sciences → ACNP
ISSN journal
01704214
Volume
18
Issue
3
Year of publication
1995
Pages
169 - 199
Database
ISI
SICI code
0170-4214(1995)18:3<169:LEOSOI>2.0.ZU;2-O
Abstract
Local existence of solutions of a mixed problem for non-linear Maxwell equations is proved. The solution is so regular that its third deriva tives are from L(2). However, the considered problem is characteristic we were able to obtain necessary estimate because compatibility condi tions were used.