2134/15344 Claudia Garetto Claudia Garetto Michael Ruzhansky Michael Ruzhansky On the well-posedness of weakly hyperbolic equations with time-dependent coefficients Loughborough University 2014 Hyperbolic equations Gevrey spaces ultradistributions Mathematical Sciences not elsewhere classified 2014-07-28 08:12:03 Journal contribution https://repository.lboro.ac.uk/articles/journal_contribution/On_the_well-posedness_of_weakly_hyperbolic_equations_with_time-dependent_coefficients/9386585 In this paper we analyse the Gevrey well-posedness of the Cauchy problem for weakly hyperbolic equations of general form with time-dependent coefficients. The results involve the order of lower order terms and the number of multiple roots. We also derive the corresponding well-posedness results in the space of Gevrey Beurling ultradistributions.