A note on complete hyperbolic operators with log-Zygmund coefficients

Abstract

The present paper is the continuation of the recent work [7], and it is devoted to strictly hyperbolic operators with non-regular coefficients. We focus here on the case of complete operators whose second-order coefficients are log-Zygmund continuous in time, and we investigate the $H^{\inf}$ well-posedness of the associate Cauchy problem.