Partial quasianalyticity of distribution solutions to weakly nonlinear differential equations with weights assigned to derivatives

We obtain conditions sufficient for the set of distribution solutions of a weakly nonlinear differential equation with weights assigned to derivatives to be a quasianalytic class with respect to part of the variables. The class of equations considered in the paper contains a number of equations describing the propagation of nonlinear waves. © 2000 Kluwer Academic/Plenum Publishers.