TY - JOUR
T1 - The Characteristics of Solutions to Semilinear Wave Equation with Logarithmic Plus Polynomial Nonlinearities
AU - Ahmed , Md Salik
AU - Wu , Weipeng
JO - Annals of Applied Mathematics
VL - 3
SP - 262
EP - 284
PY - 2024
DA - 2024/09
SN - 40
DO - http://doi.org/10.4208/aam.OA-2024-0011
UR - https://global-sci.org/intro/article_detail/aam/23423.html
KW - Global existence, blowup, logarithmic and polynomial combined nonlinearity, potential well.
AB - <p style="text-align: justify;">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 $E(0)&lt;0.$&nbsp;Then using additional conditions
on initial data, these results are enlarged at critical case $E(0)=d$ and arbitrarily
positive case $E(0)&gt;0.$</p>