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Solutions containing delta-waves of Cauchy problems for a nonstrictly hyperbolic system

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Abstract

In this paper, we prove the global existence and uniqueness of generalized solution defined by Lebesgue-Stieltjes integral containing the so calledδ-wave for Cauchy problems of a nonstrictly hyperbolic system, and obtain some interesting properties of theδ-wave.

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References

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Authors and Affiliations

  1. Institute of Mathematics, Shantou University, 515063, Shantou, China

    Huang Feimin

  2. Institute of Applied Mathematics, the Chinese Academy of Science, 100080, Beijing, China

    Huang Feimin

  3. Institute of Mathematics, Shantou University, 515063, Shantou, China

    Li Caizhong

  4. Department of Applied Mathematics, Sichuan United University, 610065, Chengdu, China

    Li Caizhong

  5. Institute of Mathematics, Shantou University, 515063, Shantou, China

    Wang Zhen

  6. Wuhan Institute of Mathematical Physics, the Chinese Academy of Science, 430071, Wuhan, China

    Wang Zhen

Authors
  1. Huang Feimin
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  2. Li Caizhong
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  3. Wang Zhen
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Additional information

This work is supported by the National Natural Science Foundation of China, Grant No.19231050.

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Huang, F., Li, C. & Wang, Z. Solutions containing delta-waves of Cauchy problems for a nonstrictly hyperbolic system. Acta Mathematicae Applicatae Sinica 11, 429–446 (1995). https://doi.org/10.1007/BF02007181

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  • DOI: https://doi.org/10.1007/BF02007181

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