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The Characteristics of Solutions to Semilinear Wave Equation with Logarithmic Plus Polynomial Nonlinearities

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.

Author Details

Md Salik Ahmed

Weipeng Wu