The Characteristics of Solutions to Semilinear Wave Equation with Logarithmic Plus Polynomial Nonlinearities
The Characteristics of Solutions to Semilinear Wave Equation with Logarithmic Plus Polynomial Nonlinearities
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)<d.Then using additional conditions on initial data, these results are enlarged at critical case E(0)=d …