Acta mathematica scientia,Series B ›› 1997, Vol. 17 ›› Issue (3): 341-352.

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UNIQUENESS OF GENERALIZED SOLUTION FOR THE CAUCHY PROBLEM OF TRANSPORTATTION EQUATIONS

Wang Zhen1,2, Ding Xiaqi2,3   

  1. 1. Young Scientist Laboratory of Math. Phys., Inst. of Math. Phys., Academia Sinica, Wuhan 430071, China;
    2.Inst. of Math., Shantou Univ., Shantou 515063, China;
    3. Inst. of Math., Shantou Univ., Shantou 515063, China Inst. of Appl. Math., Academia Sinica, Beijing 100080,China
  • Received:1997-01-01 Online:1997-09-25 Published:1997-09-25

Abstract: In this paper, we prove the uniqueness of generalized solution defined by Lebesgue-Stieltjes integral for the Cauchy problem of transportation equations. Our results are based on the discussions for linear system with discontinuous coefficient.

Key words: hyperbolic system, generalized solution, Lebesgue-Stieltjes integral, generalized potential

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