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| The Characteristics of Solutions toSemilinear Wave Equation withLogarithmic Plus PolynomialNonlinearities |
| Md Salik Ahmed,Weipeng Wu |
| (Department of Mathematics and Physics, North South University,
Dhaka-1229, Bangladesh;
Department of Mathematics, The University of Alabama, Tuscaloosa,
AL 35487-0350, USA;Harbin Institute of Information Technology, Harbin, Heilongjiang 150431,
China) |
| DOI： |
| 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. |
| Key words: Global existence, blowup, logarithmic and polynomial combined nonlinearity,
potential well |