
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.
Energy estimates, quantum medium, Quantum optics, energy estimates, compensated compactness, Bloch equation, existence, uniqueness, Strichartz estimates, Maxwell equations, Electromagnetic theory (general), Maxwell-Bloch system, Compensated compactness, energy solution, Initial value problems for first-order hyperbolic systems, PDEs in connection with optics and electromagnetic theory, Analysis
Energy estimates, quantum medium, Quantum optics, energy estimates, compensated compactness, Bloch equation, existence, uniqueness, Strichartz estimates, Maxwell equations, Electromagnetic theory (general), Maxwell-Bloch system, Compensated compactness, energy solution, Initial value problems for first-order hyperbolic systems, PDEs in connection with optics and electromagnetic theory, Analysis
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