Abstract
This work focuses on two-dimensional (2D) quasi-periodically forced nonlinear Schrödinger equations. This means studying iut−Δu+μu+εϕ(t)(u+|u|2u)=0,μ≥0,x∈T2,t∈R with periodic boundary conditions, where ε is a small positive parameter, ϕ(t) is a real analytic quasi-periodic function in t with frequency vector ω=(ω1,ω2…,ωm). It is shown that, under suitable hypothesis on ϕ(t), there are many quasi-periodic solutions for the above equation via KAM theory.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Nonlinear Analysis: Theory, Methods & Applications
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
