Zuhong You

200433 Shanghai, P.R.China
School of Mathematical Sciences, Fudan University

Publications:

You Z., Yuan X.
Abstract
This paper establishes the existence of periodic response solutions for multidimensional nonlinear Schrödinger equations (NLS) with unbounded perturbations. We adapt the Craig – Wayne – Bourgain (CWB) method to this context. The central point is that the core separation lemma remains valid for sufficiently weak unbounded perturbations, which allows the CWB method to be successfully applied. This work extends the applicability of the CWB method to problems with unbounded perturbations.
Keywords: periodic solutions, multidimensional NLS, unbounded perturbation, CWB method, KAM
DOI:10.1134/S1560354725530048

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