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Uniqueness of finite energy solutions for Maxwell-Dirac and Maxwell-Klein-Gordon equations. (English) Zbl 1029.35199

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)].

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

Citations:

Zbl 0961.35084
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