Dumas, Éric Global existence for Maxwell-Bloch systems. (Existence globale pour les systèmes de Maxwell-Bloch.) (French) Zbl 1081.35112 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau 2002-2003, Exp. No. VI, 14 p. (2003). The author proves an existence and uniqueness result for the energy solution of the Maxwell-Bloch system with arbitrary initial vector in \(L^2(\mathbb R^3)\times L^2(\mathbb R^3)\times (L^2\cap L^\infty)(\mathbb R^3)\) verifying the conservation of current and charge. MSC: 35Q60 PDEs in connection with optics and electromagnetic theory 78A25 Electromagnetic theory (general) 81V80 Quantum optics Keywords:existence; uniqueness; energy solution; Maxwell-Bloch system PDFBibTeX XMLCite \textit{É. Dumas}, Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 2002--2003, Exp. No. VI, 14 p. (2003; Zbl 1081.35112) Full Text: Numdam EuDML