Global Existence, General Decay, and Blow Up of the Solution to the Coupled p-Biharmonic Equation of Hyperbolic Type with Degenerate Damping Terms
In this work, we study a nonlinear system of p-Biharmonic hyperbolic equations with degenerate damping and source terms in a bounded domain. Under appropriate assumptions on the initial data and the damping terms, we establish the global existence of solutions. Furthermore, we derive a general decay result, and finally, we prove the occurrence of blow-up for solutions with negative initial energy.
Authors
- Zayd Hajjej (ORCID: https://orcid.org/0000-0003-0622-0779)
- Nouri Boumaza (ORCID: https://orcid.org/0000-0001-5775-7766)
- Billel Gheraibia (ORCID: https://orcid.org/0000-0002-9473-603X)
- Hongwei Zhang (ORCID: https://orcid.org/0000-0002-0898-7765)
Institutions
- King Saud University (SA)
- Larbi Ben M'hidi University of Oum El Bouaghi (DZ)
- Henan University of Technology (CN)
- Université Larbi Tébessi (DZ)
Publication Details
- Journal
- Mathematics
- Published
- 2025-10-02
- DOI
- https://doi.org/10.3390/math13193152
- Primary Topic
- Differential Equations and Boundary Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- King Saud University