The Cauchy problem for the 1-D Dirac–Klein–Gordon equation |
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Authors: | Shuji Machihara |
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Institution: | (1) Department of Mathematics, Shimane University, Matsue 690-8504, Japan |
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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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Keywords: | 35L05 35L60 |
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