- Douglis , A. 1952 . Existence theorems for hyperbolic systems . Comm. Pure Appl. Math. , 5 : 119 – 154 .
- Hu Zhiming and Zhang Tong . 1994 . The global smooth solution for high-dimensional hyperbolic systems . Acta Math. Sci. , 14 : 241 – 251 .
- Lax , P.D. 1964 . Development of singularities of solutions of nonlinear byperbolic partial differential equations . J. Math. Phys , 5 : 611 – 613 .
- Li Taatsien and Yu Wontzu . 1964 . Cauchy's problems for quasilinear byperbolic systems of first order partial differential equation . Math. Prog. Sinica , 7 : 152 – 171 . (in Chinese)
- 1963 . Existence of globally continuous solutions for reducible quasilinear hyperbolic systems . Acta Sci. Nat. Univ. Jilin , 4 : 83 – 96 . (in Chinese)
- Liu , T.P. 1979 . Development of singularities in the nonlinear waves for quasilinear hyperbolic partial differential equations . J. Diff. Eqs. , 33 : 92 – 111 .
- Qin Tiehu . 1983 . Existence of the global smooth solutions to the Cauchy problem for first order quasilinear partial differential equations . J. Fudan Univ. , 22 : 41 – 48 .
- Tan Dechun and Zhang Tong . 1992 . Global smooth solutions to the Cauchy problems for multidimensional quasilinear hyperbolic systems . Acta Math. Sci. , 12 : 361 – 365 .
- Zhu Changjiang . 1996 . The Cauchy problems for high dimensional quasilinear hyperbolic systems . Acta. Math. Sci. , 16
- Zhu Changjiang , Li Caizhong and Zhao Huijiang . 1994 . The existence of the global continuous solutions for a class of nonstrictly hyperbolic equations . Acta Math. Sci. , 14 : 96 – 106 . (in Chinese)
- Zhu Changjiang . 1994 . Global smooth solution of the non-isentropic gas dynamics system . Proc. Roy. Soc. Edin. , 126A
Existence of global classical solution for nonstrictly quasilinear hyperbolic systems in high dimensional spaces
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