On one-dimensional coupled Dirac equations

Glassey, R. T.

doi:10.1090/S0002-9947-1977-0487087-7

On one-dimensional coupled Dirac equations
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Trans. Amer. Math. Soc. 231 (1977), 531-539 Request permission

Abstract:

The Cauchy Problem for Dirac equations coupled through scalar and Fermi interactions is considered in one space dimension. Global solutions of finite energy are shown to exist, provided that either the magnitude of the coupling constant or the ${L_2}({R^1})$-norm of the initial data is suitably restricted.

References

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New estimates for the global solution of the one-dimensional Maxwell-Dirac and Klein-Gordon-Dirac equations

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