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The Cauchy problem for the 1-D Dirac–Klein–Gordon equation

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Abstract.

The Cauchy problem for the Dirac–Klein–Gordon equation are discussed in one space dimension. Time local and global existence for solutions with rough data, especially the solutions for Klein–Gordon equation in the critical and super critical Sobolev norm of [4] are considered. The solutions with general propagation speeds are dealt with.

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  1. Department of Mathematics, Shimane University, Matsue, 690-8504, Japan

    Shuji Machihara

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  1. Shuji Machihara
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Correspondence to Shuji Machihara.

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Machihara, S. The Cauchy problem for the 1-D Dirac–Klein–Gordon equation. Nonlinear differ. equ. appl. 14, 625–641 (2007). https://doi.org/10.1007/s00030-007-5027-y

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  • DOI: https://doi.org/10.1007/s00030-007-5027-y

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