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Almost Periodic Solutions of The Cubic Defocusing Nonlinear Schrödinger Equation

Fillman, Jake et al.
arXiv (All) · Papers
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analysis-of-pdesdynamical-systemsmathematical-physicsspectral-theory
This paper addresses the Cauchy problem for the cubic defocusing nonlinear Schrödinger equation (NLS) with almost periodic initial data. We prove that for small analytic quasiperiodic initial data satisfying Diophantine frequency conditions, the Cauchy problem admits a solution that is almost period
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