Construction of Quasi-periodic solutions with the same Gevrey index as nonlinear terms in Multi-Dimensional NLS
Abstract
We investigate the persistency of quasi-periodic solutions to multi-dimensional nonlinear Schr\"odinger equations (NLS) involving Gevrey smooth nonlinearity with an arbitrary Gevrey index α>1. By applying the Craig-Wayne-Bourgain (CWB) method, we establish the existence of quasi-periodic solutions that are Gevrey smooth with the same Gevrey index as the nonlinearity.
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