Ill-posedness for the Burgers equation in Sobolev spaces

2021/03/15 by Li, Jinlu, Yu, Yanghai, Zhu, Weipeng
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2103.08352

Abstract

In this paper, we considered the Cauchy problem for the Burgers equation and proved that the problem is ill-posed in Sobolev spaces H^s with s∈[1,\fr32).

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