We consider here a general second order Cauchy problem of hyperbolic type, with coefficients Holder continuous in the time variable and of Gevrey class in the space variables, in the abstract setting of Hilbert spaces. Some global and local existence results are proved to hold.
Cite this article
Piero D'Ancona, Gevrey Well-Posedness of an Abstract Cauchy Problem of Weakly Hyperbolic Type. Publ. Res. Inst. Math. Sci. 24 (1988), no. 3, pp. 433–449DOI 10.2977/PRIMS/1195175035