Sharp ill-posedness of the Dirac-Klein-Gordon system in one dimension
Analysis of PDEs
2018-08-24 v1
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.
Cite
@article{arxiv.1808.07642,
title = {Sharp ill-posedness of the Dirac-Klein-Gordon system in one dimension},
author = {Shuji Machihara and Mamoru Okamoto},
journal= {arXiv preprint arXiv:1808.07642},
year = {2018}
}
Comments
11 pages, 1 figures