arXiv:2106.00499 Abstract | arXiv Analytics

arXiv:2106.00499 [math.AP]Abstract References Reviews Resources

Weak Sobolev almost periodic solutions for the 1d NLS

Luca Biasco, Jessica Elisa Massetti, Michela Procesi

Published 2021-06-01Version 1

We construct almost periodic solutions of the one dimensional analytic NLS with external parameters. Our solutions have Sobolev regularity both in time and space and typically solve the equation only in a weak sense. This is the first result of this kind in KAM theory for PDEs.

Categories: math.AP

Keywords: periodic solutions, 1d nls, weak sobolev, dimensional analytic nls, first result

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