@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 $E(0)<d.$ 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}
}
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 -
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 $E(0)=d$ and arbitrarily
positive case $E(0)>0.$
Ahmed , Md Salik and Wu , Weipeng. (2024). The Characteristics of Solutions to Semilinear Wave Equation with Logarithmic Plus Polynomial Nonlinearities.
Annals of Applied Mathematics. 40 (3).
262-284.
doi:10.4208/aam.OA-2024-0011
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