Reducibility and quasi-periodic solutions for a two dimensional beam equation with quasi-periodic in time potential
This article is devoted to the study of a two-dimensional $(2D)$ quasi-periodically forced beam equation $$u_{tt}+\Delta^2 u+ \varepsilon\phi(t)(u+{u}^3)=0,\quad x\in\mathbb{T}^2,\quad t\in\mathbb{R}$$ under periodic boundary conditions, where $\varepsilon$ is a small positive parameter, $\phi(t)$ i...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2021-11-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/10.3934/math.2021039/fulltext.html |