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Local existence of solutions of impedance initial‐boundary value problem for non‐linear Maxwell equations
Author(s) -
Picard R. H.,
Zajaczkowski W. M.
Publication year - 1995
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670180302
Subject(s) - mathematics , maxwell's equations , boundary value problem , mathematical analysis
Abstract Local existence of solutions of a mixed problem for non‐linear Maxwell equations is proved. The solution is so regular that its third derivatives are from L 2 . However, the considered problem is characteristic we were able to obtain necessary estimate because compatibility conditions were used.