Quasi-periodic solutions for 1D wave equation with higher order nonlinearity

DOI10.1016/j.jde.2011.10.006zbMath1242.35026OpenAlexW2091223907MaRDI QIDQ652488

Jian-Jun Liu, Mei Na Gao

Publication date: 14 December 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2011.10.006

zbMATH Keywords

Dirichlet boundary conditionsBirkhoff normal formKAM theory2-dimensional elliptic invariant toripartial Birkhoff normal form

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Almost and pseudo-almost periodic solutions to PDEs (35B15) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55) Second-order semilinear hyperbolic equations (35L71)

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