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Global existence for Maxwell-Bloch systems. (Existence globale pour les systèmes de Maxwell-Bloch.) (French) Zbl 1081.35112

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
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