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MILD SOLUTIONS FOR THE RELATIVISTIC VLASOV-KLEIN-GORDON SYSTEM

  • Xiao, Meixia (School of Mathematics and Computer Science Wuhan Textile University) ;
  • Zhang, Xianwen (School of Mathematics and Statistics Huazhong University of Science and Technology)
  • Received : 2018.11.10
  • Accepted : 2019.08.14
  • Published : 2019.11.30
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Abstract

In this paper, the relativistic Vlasov-Klein-Gordon system in one dimension is investigated. This non-linear dynamics system consists of a transport equation for the distribution function combined with Klein-Gordon equation. Without any assumption of continuity or compact support of any initial particle density $f_0$, we prove the existence and uniqueness of the mild solution via the iteration method.

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References

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