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On the Cauchy problem of a weakly dissipative μ-Hunter–Saxton equation

✍ Scribed by Liu, Jingjing; Yin, Zhaoyang

Book ID: 120325165
Publisher: Elsevier Science
Year: 2014
Tongue: English
Weight: 512 KB
Volume: 31
Category: Article
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2013.02.008

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## Abstract We study the wellposedness in the Gevrey classes __G__^__s__^ and in __C__^∞^ of the Cauchy problem for weakly hyperbolic equations of higher order. In this paper we shall give a new approach to the case that the characteristic roots oscillate rapidly and vanish at an infinite number of