The Characteristics of Solutions to Semilinear Wave Equation with Logarithmic Plus Polynomial Nonlinearities

Authors

  • Md Salik Ahmed
  • Weipeng Wu

DOI:

https://doi.org/10.4208/aam.OA-2024-0011

Keywords:

Global existence, blowup, logarithmic and polynomial combined nonlinearity, potential well.

Abstract

The semilinear wave equation with logarithmic and polynomial nonlinearities is considered in this paper. By adjusting and using potential well method, we attain the global-in-time existence and infinite time blowup solutions at subcritical initial energy level $E(0)0.$

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Published

2024-09-26

Issue

Vol. 40 No. 3 (2024)

Section

Articles