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Uniqueness of Finite Energy Solutions for Maxwell-Dirac and Maxwell-Klein-Gordon Equations

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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].

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Authors and Affiliations

  1. Courant Institute, New York University, New York, NY, 10012, USA

    Nader Masmoudi

  2. Graduate School of Mathematics, Nagoya University, Nagoya, 464-8602, Japan

    Kenji Nakanishi

Authors
  1. Nader Masmoudi
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  2. Kenji Nakanishi
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Communicated by H.-T. Yau

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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Masmoudi, N., Nakanishi, K. Uniqueness of Finite Energy Solutions for Maxwell-Dirac and Maxwell-Klein-Gordon Equations. Commun. Math. Phys. 243, 123–136 (2003). https://doi.org/10.1007/s00220-003-0951-0

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  • DOI: https://doi.org/10.1007/s00220-003-0951-0

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