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Abstract In this paper, the Cauchy problem of an n-component Camassa–Holm system is considered. The local well-posedness in the critical Besov space ( B 2 , 1 3 2 )… Click to show full abstract
Abstract In this paper, the Cauchy problem of an n-component Camassa–Holm system is considered. The local well-posedness in the critical Besov space ( B 2 , 1 3 2 ) n is established, and it is shown that the data-to-solution map is Holder continuous. We finally give two new blow-up conditions for the initial data to this system by virtue of the H 1 -norm conservation law.
Keywords:
camassa holm;
system;
component camassa;
holm system;
local well;
well posedness
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2021
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!