Sharp ill-posedness of the Dirac-Klein-Gordon system in one dimension
arXiv:1808.07642
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.
11 pages, 1 figures