Asymptotic Behavior Of Global Solutions To Some Multidimensional Quasilinear Hyperbolic Systems

For the Cauchy problem of multidimensional quasilinear hyperbolic systems of diagonal form without self-interaction,the global existence of classical solutions with small initial data was shown in[13].In this paper,we will first prove that the global solution will scatter to free linear waves in some weightedsense,then based on it,we will study the rigidity aspect of scattering problem for quasilinear waves.