@Article{AAM-40-262, author = {Ahmed , Md Salik and Wu , Weipeng}, title = {The Characteristics of Solutions to Semilinear Wave Equation with Logarithmic Plus Polynomial Nonlinearities}, journal = {Annals of Applied Mathematics}, year = {2024}, volume = {40}, number = {3}, pages = {262--284}, 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 $E(0)<0.$ Then using additional conditions on initial data, these results are enlarged at critical case $E(0)=d$ and arbitrarily positive case $E(0)>0.$

}, issn = {}, doi = {https://doi.org/10.4208/aam.OA-2024-0011}, url = {http://global-sci.org/intro/article_detail/aam/23423.html} }