Ill-posedness for the Burgers equation in Sobolev spaces

Jinlu Li (), Yanghai Yu () and Weipeng Zhu ()
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Jinlu Li: Gannan Normal University
Yanghai Yu: Anhui Normal University
Weipeng Zhu: Foshan University

Indian Journal of Pure and Applied Mathematics, 2024, vol. 55, issue 1, 189-197

Abstract: Abstract In this paper, we consider the Cauchy problem for the Burgers equation in the line. We shall prove that this problem is ill-posed in the Sobolev space $$H^s({\mathbb {R}})$$ H s ( R ) with $$1\le s

Keywords: Burgers equation; Ill-posedness; 35Q35; 35B30 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s13226-022-00357-z

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