Third order homogeneous weakly hyperbolic equations with nonanalytic coefficients

We consider the Cauchy problem for homogeneous linear third order weakly hyperbolic equations with time depending coefficients. We study the relation between the regularity of the coefficients and the Gevrey class in which the Cauchy problem is well-posed.

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Bibliographic Details
Published in:	Journal of mathematical analysis and applications Vol. 418; no. 2; pp. 1006 - 1029
Main Authors:	Jannelli, E., Taglialatela, G.
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 15-10-2014
Subjects:	Cauchy problem Homogeneous hyperbolic equations Symmetrizer Symmetrizer Homogeneous hyperbolic equations Cauchy problem
Online Access:	Get full text
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Description
Summary:	We consider the Cauchy problem for homogeneous linear third order weakly hyperbolic equations with time depending coefficients. We study the relation between the regularity of the coefficients and the Gevrey class in which the Cauchy problem is well-posed.
ISSN:	0022-247X 1096-0813
DOI:	10.1016/j.jmaa.2014.04.032