Resumen de Propagation of analyticity of the solutions to the Cauchy problem for nonlinear symmetrizable systems

Kunihiko Kajitani, Kaoru Yamaguti

• This paper is devoted to the study of propagation of analyticity of the solutions to the nonlinear Cauchy problem. Under the assumption that the system is nonsmoothly and uniformly symmetrizable and the initial data are analytic in space variables, one can prove that the solutions belonging to some Gevrey classes become analytic in space variables.