Nonlinear singular perturbations of the fractional Schrödinger equation in dimension one

DOI10.1088/1361-6544/ab1273zbMath1421.35299arXiv1805.06952OpenAlexW3105988572MaRDI QIDQ5229280

Raffaele Carlone, Lorenzo Tentarelli, Domenico Finco

Publication date: 14 August 2019

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.06952

zbMATH Keywords

point interactionsfractional Laplacianblow up solutions

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11) Functional-differential equations with fractional derivatives (34K37)

Related Items (8)

Existence, structure, and robustness of ground states of a NLSE in 3D with a point defect ⋮ Ground states for the planar NLSE with a point defect as minimizers of the constrained energy ⋮ Stability of the standing waves of the concentrated NLSE in dimension two ⋮ A general review on the NLS equation with point-concentrated nonlinearity ⋮ Well–posedness of the three–dimensional NLS equation with sphere–concentrated nonlinearity ⋮ On the standing waves of the Schrödinger equation with concentrated nonlinearity ⋮ Blow-up for the pointwise NLS in dimension two: absence of critical power ⋮ Prescribed mass ground states for a doubly nonlinear Schrödinger equation in dimension one

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