GLOBAL SOLVABILITY IN THE WHOLE SPACE FOR A CLASS OF FIRST ORDER QUASILINEAR HYPERBOLIC SYSTEMS

Citation:

Li Daqian,Shi Jiahong.GLOBAL SOLVABILITY IN THE WHOLE SPACE FOR A CLASS OF FIRST ORDER QUASILINEAR HYPERBOLIC SYSTEMS[J].Chinese Annals of Mathematics B,1984,5(2):241~248
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Authors:

Li Daqian; Shi Jiahong
Abstract: For reducible quasilinear hyperbolic systems and for general quasilinear hyperbolic systems of diagonal form in two independent variables; some sufficient conditions satisfied by he system itself are given to guarantee the existence of nontrivial global smooth solutions in the whole (t,x) space.

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