We study the wellposedness in the Gevrey classes Gs 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 points. © 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
On the wellposedness of the Cauchy problem for weakly hyperbolic equations of higher order / D'Ancona, Piero Antonio; Tamotu, Kinoshita. - In: MATHEMATISCHE NACHRICHTEN. - ISSN 0025-584X. - STAMPA. - 278:10(2005), pp. 1147-1162. [10.1002/mana.200310299]
On the wellposedness of the Cauchy problem for weakly hyperbolic equations of higher order
D'ANCONA, Piero Antonio;
2005
Abstract
We study the wellposedness in the Gevrey classes Gs 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 points. © 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.File allegati a questo prodotto
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