Bounds for Blow‐Up Time and Decay Estimate of a Fourth‐Order Hyperbolic Equation With Logarithmic Nonlinearity
ABSTRACT In this paper, a class of fourth‐order hyperbolic equation with logarithmic nonlinearity is considered. It is proved that the solutions blow up in finite time by developing the method of Levine concavity and using some differential inequality techniques. Meanwhile, the lifespan of the solutions is estimated. Furthermore, we establish an explicit energy decay rate.
Authors
- Ge Zu (ORCID: https://orcid.org/0000-0003-1458-6244)
- Yunzhu Gao (ORCID: https://orcid.org/0000-0001-5548-5760)
- Shuai Zhang (ORCID: https://orcid.org/0000-0002-1273-1367)
Institutions
- Beihua University (CN)
- Electric Power University (VN)
- Northeast Electric Power University (CN)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-08-10
- DOI
- https://doi.org/10.1002/mma.70045
- Primary Topic
- Stability and Controllability of Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00