Well-posedness of the mixed-fractional nonlinear Schrödinger equation on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e22" altimg="si1.svg"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math>-Reference-Cited by-同舟云学术

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Well-posedness of the mixed-fractional nonlinear Schrödinger equation on R2

Published:2022-12 Issue: Volume:6 Page:100406
ISSN:2666-8181
Container-title:Partial Differential Equations in Applied Mathematics
language:en
Short-container-title:Partial Differential Equations in Applied Mathematics

Author:

Choi Brian^ORCID,Aceves Alejandro

Funder

National Science Foundation

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference19 articles.

1. Spatiotemporal dynamics in the fractional nonlinear Schrödinger equation;Copeland,2020

2. Fractional Schrödinger equation in optics;Longhi;Opt Lett,2015

3. On the continuum limit for discrete NLS with long-range lattice interactions;Kirkpatrick;Comm Math Phys,2013

4. On fractional Schrödinger equations in sobolev spaces;Hong;Commun Pure Appl Anal,2015

5. Well-posedness of nonlinear fractional Schrödinger and wave equations in Sobolev spaces;Dinh;Int J Appl Math,2018

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Continuum limit of 2D fractional nonlinear Schrödinger equation;Journal of Evolution Equations;2023-03-30

2. Spatio-temporal dynamics in the mixed fractional nonlinear Schrödinger equation;Frontiers in Photonics;2022-09-29

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