Journal of Mathematics of Kyoto University
- J. Math. Kyoto Univ.
- Volume 46, Number 4 (2006), 833-877.
Well-posedness for hyperbolic higher order operators with finite degeneracy
Ferruccio Colombini and Giovanni Taglialatela
Abstract
We consider a class of higher order hyperbolic equations with finite degeneracy.
We give sufficient conditions in order the Cauchy problem to be well-posed in $\mathcal{C}^{\infty}$ and in Gevrey classes.
Article information
Source
J. Math. Kyoto Univ., Volume 46, Number 4 (2006), 833-877.
Dates
First available in Project Euclid: 14 August 2009
Permanent link to this document
https://projecteuclid.org/euclid.kjm/1250281606
Digital Object Identifier
doi:10.1215/kjm/1250281606
Mathematical Reviews number (MathSciNet)
MR2320353
Zentralblatt MATH identifier
1145.35079
Subjects
Primary: 35L30: Initial value problems for higher-order hyperbolic equations
Secondary: 35A05 35B30: Dependence of solutions on initial and boundary data, parameters [See also 37Cxx]
Citation
Colombini, Ferruccio; Taglialatela, Giovanni. Well-posedness for hyperbolic higher order operators with finite degeneracy. J. Math. Kyoto Univ. 46 (2006), no. 4, 833--877. doi:10.1215/kjm/1250281606. https://projecteuclid.org/euclid.kjm/1250281606
