Acta mathematica scientia,Series B ›› 2019, Vol. 39 ›› Issue (4): 1136-1148.doi: 10.1007/s10473-019-0416-y

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ON THE CAUCHY PROBLEM FOR IMBQ SYSTEM ARISING FROM DNA

Yuzhu WANG1, Naiwen TIAN2   

  1. 1. School of Mathematics and Statistics, North China University of Water Resources and Electric Power, Zhengzhou 450011, China;
    2. University of Waterloo, Walterloo, Ontario, Canada
  • Received:2018-02-02 Online:2019-08-25 Published:2019-09-12
  • Supported by:
    The work is partially supported by NNSF of China (11871212) and Plan For Scientific Innovation Talent of Henan Province (154100510012).

Abstract: In this article, we focus on the Cauchy problem for the generalized IMBq system in n-dimensional space, which arises from DNA. We show the global existence and decay estimates of solution for a class of initial velocity, provided that the initial value is suitably small.

Key words: Generalized IMBq system arising from DNA, global existence, decay estimate

CLC Number: 

  • 35L30
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