Zuhong You
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.
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