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arXiv · 1808.07642

Sharp ill-posedness of the Dirac-Klein-Gordon system in one dimension

Shuji Machihara·Mamoru Okamoto
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Abstract

We show the ill-posedness of the Cauchy problem for the Dirac-Klein-Gordon system in one dimension in the critical Sobolev space. From this, we finish the classification of the regularities for which this problem is well-posed or ill-posed.

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Shuji Machihara, Mamoru Okamoto. 2018-08-23. Sharp ill-posedness of the Dirac-Klein-Gordon system in one dimension. https://arxiv.org/abs/1808.07642

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