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The Vallée-Poussin problem for higher order nonlinear hyperbolic equations

✍ Scribed by Tariel Kiguradze

Book ID: 108077470
Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 588 KB
Volume: 59
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2009.09.009

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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