Mathematical Theory and Applications ›› 2016, Vol. 36 ›› Issue (3): 12-24.

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Lower Bounds of the Life Span of Classical Solutions to a System of Nonlinear Wave Equations with Weighted Function in Two Space Dimensions

Wang Husheng, Sun Haixia, Mi Cailian   

  1. School of Mathematics,Southwest Jiaotong University,Chengdu 611756,China
  • Online:2016-09-30 Published:2020-09-27

Abstract: This paper concerns the Cauchy problem of a nonlinear wave equation system with weighted function.Lower bounds to the life span of classical solutions with small initial values are derived,which generalizes the known results.

Key words: Wave equation, Classical solution, Lower bound, Life span