GLOBAL EXISTENCE AND BLOW UP OF SOLUTION OF WAVE NONLINEAR EQUATION WITH BOUNDARY FRACTIONAL DAMPING AND LOGARITHMIC SOURCE TERMS
In this study, a global solution is presented for an initial boundary value problem involving a wave equation with logarithmic nonlinear source terms and fractional boundary dissipation. The solution is obtained through the application of the energy method combined with the Faedo-Galarkin procedure....
Saved in:
| Main Authors: | , , , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Published: |
American Institute of Mathematical Sciences
2025
|
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Universiti Tenaga Nasional |
| Summary: | In this study, a global solution is presented for an initial boundary value problem involving a wave equation with logarithmic nonlinear source terms and fractional boundary dissipation. The solution is obtained through the application of the energy method combined with the Faedo-Galarkin procedure. Additionally, a blow-up result for the solution is established, contingent upon the condition of non-positive initial energy. ? 2024 American Institute of Mathematical Sciences. All rights reserved. |
|---|