Archivio Istituzionale della RicercaThe paper discusses nonlinear singular delta-type perturbations of the fractional Schrödinger equation ı∂ψ/∂t = (−∆)^s ψ, with s ∈ (1/2 , 1] , in dimension one. In particular, we investigate local and global well-posedness (in a strong sense), conservation laws and the existence of blow-up solutions and standing waves.
Nonlinear singular perturbations of the fractional Schrödinger equation in dimension one / Carlone, Raffaele; Finco, Domenico; Tentarelli, Lorenzo. - In: NONLINEARITY. - ISSN 0951-7715. - 32:8(2019), pp. 3112-3143. [10.1088/1361-6544/ab1273]
Nonlinear singular perturbations of the fractional Schrödinger equation in dimension one
Finco Domenico;Tentarelli Lorenzo
2019
Abstract
The paper discusses nonlinear singular delta-type perturbations of the fractional Schrödinger equation ı∂ψ/∂t = (−∆)^s ψ, with s ∈ (1/2 , 1] , in dimension one. In particular, we investigate local and global well-posedness (in a strong sense), conservation laws and the existence of blow-up solutions and standing waves.
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Carlone R., Finco D., Tentarelli L., Nonlinear singular perturbations of the fractional Schrödinger equation in dimension one, 2019.pdf
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/11583/2771918