Almost-periodic solutions of an almost-periodically forced wave equation

作者：Rui, Jie^*; Liu, Bingchen

来源：Journal of Mathematical Analysis and Applications, 2017, 451(2): 629-658.

DOI：10.1016/j.jmaa.2017.02.036

• Infinite dimensional Hamiltonian systems
• Wave equations
• Almost-periodic solutions
• Almost-periodic function

This work focuses on a wave equation with almost-periodic forcing psi(omega t,x) subject to Dirichlet boundary conditions. For the equation we obtain almost-periodic solutions corresponding to full-dimensional invariant tori of an associated infinite dimensional dynamical system. The proof is based on the reducibility via an improved KAM theory.

• 出版日期2017-7-15
• 单位中国石油大学（华东）