The Characteristics of Solutions to Semilinear Wave Equation with Logarithmic Plus Polynomial Nonlinearities
Year: 2024
Author: Md Salik Ahmed, Weipeng Wu
Annals of Applied Mathematics, Vol. 40 (2024), Iss. 3 : pp. 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 $E(0)>0.$
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aam.OA-2024-0011
Annals of Applied Mathematics, Vol. 40 (2024), Iss. 3 : pp. 262–284
Published online: 2024-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 23
Keywords: Global existence blowup logarithmic and polynomial combined nonlinearity potential well.