Masmoudi, Nader; Nakanishi, Kenji Uniqueness of finite energy solutions for Maxwell-Dirac and Maxwell-Klein-Gordon equations. (English) Zbl 1029.35199 Commun. Math. Phys. 243, No. 1, 123-136 (2003). Summary: We prove uniqueness of solutions to the Maxwell-Dirac system in the energy space, namely \(C(-T,T; H^{1/2} \times\dot H^1)\). We also give a proof for uniqueness of finite energy solutions to the Maxwell-Klein-Gordon equations, which is simpler than that given in [Y. Zhou, Am. J. Math. 122, 939–965 (2000; Zbl 0961.35084)]. Cited in 14 Documents MSC: 35Q40 PDEs in connection with quantum mechanics 35Q60 PDEs in connection with optics and electromagnetic theory 81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics Keywords:Maxwell-Dirac system; uniqueness; finite energy solutions; Maxwell-Klein-Gordon equations Citations:Zbl 0961.35084 PDFBibTeX XMLCite \textit{N. Masmoudi} and \textit{K. Nakanishi}, Commun. Math. Phys. 243, No. 1, 123--136 (2003; Zbl 1029.35199) Full Text: DOI