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On the wellposedness of the Cauchy problem for weakly hyperbolic equations of higher order
Author(s) -
D'Ancona Piero,
Kinoshita Tamotu
Publication year - 2005
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200310299
Subject(s) - mathematics , order (exchange) , hyperbolic partial differential equation , cauchy problem , pure mathematics , cauchy distribution , initial value problem , mathematical analysis , differential equation , finance , economics
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 points. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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