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On the Dirichlet problem in a characteristic rectangle for higher order linear hyperbolic equations

✍ Scribed by T. Kiguradze; V. Lakshmikantham

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
193 KB
Volume
50
Category
Article
ISSN
0362-546X

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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