Invariant Tori for a Two-Dimensional Completely Resonant Beam Equation with a Quintic Nonlinear Term
This paper focuses on a two-dimensional completely resonant beam equation with a quintic nonlinear term. This means studying utt+Δ2u+εfu=0,x∈T2,t∈ℝ, under periodic boundary conditions, where ε is a small positive parameter and fu is a real analytic odd function of the form fu=f5u5+∑i^≥3f2i^+1u2i∧+1,...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/7106366 |
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