Duke Mathematical Journal

On the Maxwell-Klein-Gordon equation with finite energy

S. Klainerman and M. Machedon

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Article information

Source
Duke Math. J. Volume 74, Number 1 (1994), 19-44.

Dates
First available in Project Euclid: 20 February 2004

Permanent link to this document
http://projecteuclid.org/euclid.dmj/1077288008

Digital Object Identifier
doi:10.1215/S0012-7094-94-07402-4

Mathematical Reviews number (MathSciNet)
MR1271462

Zentralblatt MATH identifier
0818.35123

Subjects
Primary: 35Q40: PDEs in connection with quantum mechanics
Secondary: 35L99: None of the above, but in this section 81T13: Yang-Mills and other gauge theories [See also 53C07, 58E15]

Citation

Klainerman, S.; Machedon, M. On the Maxwell-Klein-Gordon equation with finite energy. Duke Math. J. 74 (1994), no. 1, 19--44. doi:10.1215/S0012-7094-94-07402-4. http://projecteuclid.org/euclid.dmj/1077288008.


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References

  • [1EM] D. M. Eardley and V. Moncrief, The global existence of Yang-Mills-Higgs fields in $\mathbfM^3+1$, Comm. Math. Phys. 83 (1982), 171–212.
  • [2K1Ma] S. Klainerman and M. Machedon, Space-time estimates for null forms and the local existence theorem, preprint.
  • [3Str] R. S. Strichartz, Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations, Duke Math. J. 44 (1977), no. 3, 705–714.