Pré-Publication, Document De Travail Année : 2023

Scattering for non-radial 3D NLS with combined nonlinearities

Résumé

We show scattering below the ground state energy level for a class of nonlinear 3D Schrödinger equations (NLS) with mass-energy intracritical competing nonlinearities. Specifically, the NLS has a focusing leading order nonlinearity with a defocusing perturbation. Our strategy combines interaction Morawetz estimates and a new crucial bound for the Pohozaev functional of localized functions. Furthermore, we give the rate of blow-up for symmetric solutions.

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Dates et versions

hal-03926533 , version 1 (06-01-2023)

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  • HAL Id : hal-03926533 , version 1

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Jacopo Bellazzini, van Duong Dinh, Luigi Forcella. Scattering for non-radial 3D NLS with combined nonlinearities. 2023. ⟨hal-03926533⟩
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