2 problems

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The Petite Conjecture on almost periodicity and weakly localized solutions
A localized solution is a spatially localized solution, and regularity in space refers to the spatial regularity assumed in the surrounding discussion. A weakly localized solution…
Conjectureopenalmost-periodic-solutions nonlinear-schrodinger-equations time-dependent-potentialsarXiv posted 2 days ago
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Weakly localized solutions for localized time-dependent potentials
Consider a time-dependent potential that is localized in space. A weakly localized solution (WLS) is a solution with a component exhibiting weak localization, while a localized sol…
Conjectureopenlocalized-solutions nonlinear-schrodinger-equations time-dependent-potentialsarXiv posted 2 days ago

The Petite Conjecture on almost periodicity and weakly localized solutions