JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2021, Vol. 56 ›› Issue (9): 59-65.doi: 10.6040/j.issn.1671-9352.0.2020.675

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Global nonexistence of solutions to a class of semilinear double-wave equations with space-dependent coefficients on the nonlinearity

OUYANG Bai-ping1, XIAO Sheng-zhong2   

  1. 1. College of Data Science, Guangzhou Huashang College, Guangzhou 511300, Guangdong, China;
    2. Guangdong AIB Polytechnic College, Guangzhou 510507, Guangdong, China
  • Published:2021-09-13

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Abstract: Blow-up of solutions to a class of semilinear double-wave equations with space-dependent coefficients on the nonlinearity is considered. By using the methods of differential inequalities and an iteration argument, the global nonexistence and the upper bound of the lifespan of solutions to the Cauchy problem for semilinear double-wave equations in the subcritical case are obtained, which generalize further the facts on the Cauchy problem for wave equations of high orders.

Key words: nonlinearity, semilinear double-wave equation, global nonexistence

CLC Number: 

  • O175.27
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