This issuePrevious ArticleMinimization of the number of periodic points for smooth self-maps of closed simply-connected 4-manifoldsNext ArticleA long-time stable fully discrete approximation of the Cahn-Hilliard equation with inertial term
Cauchy problem for a class of nondiagonalizable hyperbolic systems
We investigate the well-posedness of Cauchy problem for weakly
hyperbolic systems in one space dimension with time dependent coecients
in Sobolev spaces and in the $C^\infty$ category allowing nondiagonalizable principal parts and complex entries in the nilpotent part. We prove well-posedness
results by means of an iterative approach under conditions linking the characteristic roots, the entries of the nilpotent part and of the zero order part.