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arxiv: 1808.07642 · v1 · pith:23IHO7PUnew · submitted 2018-08-23 · 🧮 math.AP

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

classification 🧮 math.AP
keywords dimensiondirac-klein-gordonill-posednessproblemsystemcauchyclassificationcritical
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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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