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Continuum limit of 2D fractional nonlinear Schrödinger equation

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Bibliographic Details
Main Authors: Brian, Choi, Alejandro, Aceves
Format: Book
Language:English
Published: Springer 2023
Subjects:
L2(R2)
explicit computation
Online Access:https://link.springer.com/article/10.1007/s00028-023-00881-3
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7518
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spelling oai:localhost:PNK-75182023-04-05T01:36:32Z Continuum limit of 2D fractional nonlinear Schrödinger equation Brian, Choi Alejandro, Aceves L2(R2) explicit computation CC BY We prove that the solutions to the discrete nonlinear Schrödinger equation with non-local algebraically decaying coupling converge strongly in L2(R2) to those of the continuum fractional nonlinear Schrödinger equation, as the discretization parameter tends to zero. The proof relies on sharp dispersive estimates that yield the Strichartz estimates that are uniform in the discretization parameter. An explicit computation of the leading term of the oscillatory integral asymptotics is used to show that the best constants of a family of dispersive estimates blow up as the non-locality parameter α∈(1,2) approaches the boundaries. 2023-04-05T01:36:32Z 2023-04-05T01:36:32Z 2023 Book https://link.springer.com/article/10.1007/s00028-023-00881-3 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7518 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic L2(R2)
explicit computation
spellingShingle L2(R2)
explicit computation
Brian, Choi
Alejandro, Aceves
Continuum limit of 2D fractional nonlinear Schrödinger equation
description CC BY
format Book
author Brian, Choi
Alejandro, Aceves
author_facet Brian, Choi
Alejandro, Aceves
author_sort Brian, Choi
title Continuum limit of 2D fractional nonlinear Schrödinger equation
title_short Continuum limit of 2D fractional nonlinear Schrödinger equation
title_full Continuum limit of 2D fractional nonlinear Schrödinger equation
title_fullStr Continuum limit of 2D fractional nonlinear Schrödinger equation
title_full_unstemmed Continuum limit of 2D fractional nonlinear Schrödinger equation
title_sort continuum limit of 2d fractional nonlinear schrödinger equation
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s00028-023-00881-3
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7518
_version_ 1762365498194919424
score 8.889492

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