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most citedRandom initial data and average shock time in the Fermi-Pasta-Ulam-Tsingou chain

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math.AP2025

Trapping by repulsion: the NLS with a delta-prime

Riccardo Adami, Filippo Boni, Matteo Gallone

We establish the existence and provide explicit expressions for the stationary states of the one-dimensional Schrödinger equation with a repulsive delta-prime potential and a focu…

math.AP2025

Two dimensional NLS ground states with attractive Coulomb potential and point interaction

Filippo Boni, Matteo Gallone

We study the existence and the properties of ground states at fixed mass for a focusing nonlinear Schrödinger equation in dimension two with a point interaction, an attractive Cou…