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Estimation of Cauchy data for a first-order nonlinear hyperbolic equation

✍ Scribed by Kevin A Grasse; L.W White

Publisher: Elsevier Science
Year: 1988
Tongue: English
Weight: 933 KB
Volume: 135
Category: Article
ISSN: 0022-247X
DOI: 10.1016/0022-247x(88)90171-0

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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