the paper obtains the global existence and uniqueness of classical solution to the Cauchy problem for general first order quasilinear hyperbolic systems and an application is given.
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L I T a-ts ien,ZHOU Y i,KONG D e-x ing.G loba l class ica l so lu tions for genera l quas ilinear hyperbo lic system s w ith de-cay in itia l data[J].N on linear A na lys is,T heory,M ethods&A pp lication,1997,28:1 299-1 332.
L I T a-ts ien,ZHOU Y i,KONG D e-x ing.W eak L inear degeneracy and g loba l class ica l so lu tions for genera l quas ilinearhyperbo lic system s[J].Comm.in PDE,1994,19:1 263-1 317.
L I T a-ts ien,KONG D e-x ing.B reakdow n of class ica l so lu tions to quas ilinear hyperbo lic system s[J].N on linear A na ly-s is,T heory,M ethods&A pp lication,2000,40:407-437.
ZHOU Y i.G loba l class ica l so lu tions to quas ilinear hyperbo lic system s w ith w eak linear degeneracy[J].Ch in A nn ofM ath,2004,25B:37-56.
L I T a-ts ien,YU W en-c i.Boundary V a lue P rob lem s for Q uas ilinearHyperbo lic System s[M].Duke U n ivers ity,M athe-m atics Series V,1985.