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.