Carbou, Gilles; Fabrie, Pierre Regular solutions for Landau-Lifschitz equation in \(\mathbb R^ 3\). (English) Zbl 1084.35519 Commun. Appl. Anal. 5, No. 1, 17-30 (2001). Summary: The authors prove local existence, global existence with small data and uniqueness of regular solutions for Landau-Lifschitz equations. Furthermore they establish local existence and uniqueness for a system coupling Maxwell and Landau-Lifschitz equations arising from Micromagnetism theory. Cited in 24 Documents MSC: 35K55 Nonlinear parabolic equations 35Q60 PDEs in connection with optics and electromagnetic theory 82D40 Statistical mechanical studies of magnetic materials 35K15 Initial value problems for second-order parabolic equations PDF BibTeX XML Cite \textit{G. Carbou} and \textit{P. Fabrie}, Commun. Appl. Anal. 5, No. 1, 17--30 (2001; Zbl 1084.35519)