Chinese Quarterly Journal of Mathematics ›› 2021, Vol. 36 ›› Issue (2): 149-159.doi: 10.13371/j.cnki.chin.q.j.m.2021.02.004

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Nonexistence of Global Solutions for a Semilinear Double-Wave Equation with Nonlinearity of Derivative Type

  

  1. 1. College of Data Science, Guangzhou Huashang College, Guangzhou 511300, China; 2. Department
    of Applied Mathematics, Guangdong University of Finance, Guangzhou 510521, China
  • Received:2021-01-16 Online:2021-06-30 Published:2021-06-23
  • About author:OUYANG Bai-ping (1979-), male, native of Chenzhou, Hunan, lecturer of Guangzhou Huashang College, engages in PDEs; LIN Yi-wu (1980-), male, native of Shantou, Guangdong, associate professor of Guangdong University of Finance, engages in PDEs; Corresponding Author: LIN Yi-wu.
  • Supported by:
     Supported by the Natural Science Foundation of China (Grant No. 61907010); Innovation
    Team Project in Colleges and Universities of Guangdong Province (Grant No. 2020WCXTD008); Science
    Foundation of Huashang College Guangdong University of Finance & Economics (Grant No. 2020HSDS01).

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Abstract: In this paper, we study the blow-up of solutions to a semilinear double-wave
equation with nonlinearity of derivative type. By using the iteration method and the
differential inequality techniques, we can get the estimates of the lifespan and the blow-up
of solutions in the subcritical case under some assumptions.

Key words: Semilinear double-wave equation, Blow-up, Nonlinearity of derivative type;
Lifespan estimate

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