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

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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 $E(0)0.$

Keywords:

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

10.4208/aam.OA-2024-0011