Abstract
This article is devoted to the study of the Cauchy problem in Gevrey classes for some higher order weakly hyperbolic equations with time-dependent coefficients and without lower order terms.
Similar content being viewed by others
References
F. Colombini, E. Jannelli and S. Spagnolo,Well-posedness in Gevrey classes of the Cauchy problem for a non-strictly hyperbolic equation with coefficients depending on time, Ann. Scuola Norm. Sup. Pisa10 (1983), 291–312.
F. Colombini and T. Nishitani,équations faiblement hyperboliques du deuxième ordre et classes de fonctions ultradifférentiables, C. R. Acad. Sci. Paris, Sér. I Math.332 (2001), 25–28.
F. Colombini and N. OrrÚ,Well-posedness in C∞ for some weakly hyperbolic equations, J. Math. Kyoto Univ.39 (1999), 399–420.
F. Colombini and S. Spagnolo,Some examples of hyperbolic equations without local solvability, Ann. Sci. école Norm. Sup. (4)22 (1989), 109–125.
K. Kajitani, S. Wakabayashi and K. Yagdjian,The hyperbolic operators with the characteristics vanishing with the different speeds, Osaka J. Math.39 (2002), 447–485.
T. Nishitani,Note on Ivrii-Petkov-Hörmander condition of hyperbolicity, Sci. Rep. College Gen. Ed. Osaka Univ.39 (1990), 7–9.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Colombini, F., Ishida, H. Well-posedness of the cauchy problem in gevrey classes for some weakly hyperbolic equations of higher order. J. Anal. Math. 90, 13–25 (2003). https://doi.org/10.1007/BF02786550
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02786550