Uniqueness of Finite Energy Solutions for Maxwell-Dirac and Maxwell-Klein-Gordon Equations |
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| Authors: | Nader Masmoudi Kenji Nakanishi |
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| Affiliation: | (1) Courant Institute, New York University, New York, NY 10012, USA;(2) Graduate School of Mathematics, Nagoya University, Nagoya, 464-8602, Japan |
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| Abstract: | We prove uniqueness of solutions to the Maxwell-Dirac system in the energy space, namely . We also give a proof for uniqueness of finite energy solutions to the Maxwell-Klein-Gordon equations, which is simpler than that given in [16].The first author is partially supported by an NSF grant and an Alfred Sloan fellowship. The second author is supported by JSPS Postdoctoral Fellowships for Research Abroad (2001–2003) |
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