Global Existence, Stability and Blow–up of Solutions for p-Biharmonic Hyperbolic Equation with Weak and Strong Damping Terms
In this paper, we study the initial boundary value problem for the following $p$-biharmonic hyperbolic equation with weak and strong damping terms: $$ v_{tt}+\Delta_{p}^{2}v-\mu\Delta_{m}v_{t}+v_{t}=\omega|v|^{k-2}v. $$ Under some assumptions on the initial data, the constants $p,m$ and $k$, we prov...
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| Date: | 2025 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України
2025
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| Subjects: | |
| Online Access: | https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1100 |
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| Journal Title: | Journal of Mathematical Physics, Analysis, Geometry |