Acta mathematica scientia,Series B ›› 1993, Vol. 13 ›› Issue (2): 195-201.

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EXISTENCE OF GENERALIZED SOLUTIONS TO A HYPERBOLIC MODEL OF COMBUSTION

Lu Yunguang, Hu Jiaxin   

  1. Inst. of Math. Sci., Academia Sinica, Wuhan 430071. China
  • Received:1991-05-28 Online:1993-06-25 Published:1993-06-25

Abstract: In this paper we obtain the existence of the generalized solutions to the Cauchy problem for a model of combustion provided that the function f is of nonconvexity and initial values lie in the bounded, measurable class.

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