On Scattering for the Defocusing Quintic Nonlinear Schrödinger Equation on the Two-Dimensional Cylinder-Reference-Cited by-同舟云学术

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On Scattering for the Defocusing Quintic Nonlinear Schrödinger Equation on the Two-Dimensional Cylinder

Published:2020-01 Issue:5 Volume:52 Page:4185-4237
ISSN:0036-1410
Container-title:SIAM Journal on Mathematical Analysis
language:en
Short-container-title:SIAM J. Math. Anal.

Author:

Cheng Xing,Guo Zihua,Zhao Zehua

Funder

Australian Research Council

Monash University

National Natural Science Foundation of China

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Applied Mathematics,Computational Mathematics,Analysis

Link

https://epubs.siam.org/doi/pdf/10.1137/19M1270586

Reference51 articles.

1. Mass concentration phenomena for the $L^2$-critical nonlinear Schrödinger equation

2. On the role of quadratic oscillations in nonlinear Schrödinger equations II. The $L^2$-critical case

3. Global well-posedness and scattering for the energy-critical Schrödinger equation in ℝ3

4. Remark on energy-critical NLS in 5D

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1. On bilinear Strichartz estimates on waveguides with applications;Journal of Functional Analysis;2024-11

2. A Legendre–Fenchel Identity for the Nonlinear Schrödinger Equations on $$\mathbb {R}^d\times \mathbb {T}^m$$: Theory and Applications;The Journal of Geometric Analysis;2024-08-13

3. Almost sure scattering for the defocusing cubic nonlinear Schrödinger equation on R3×T;Journal of Functional Analysis;2024-08

4. On Existence and Stability Results for Normalized Ground States of Mass-Subcritical Biharmonic Nonlinear Schrödinger Equation on \(\boldsymbol{\mathbb{R}^{{d}}\times \mathbb{T}^{{n}}}\);SIAM Journal on Mathematical Analysis;2024-07-01

5. On Strichartz estimates for many-body Schrödinger equation in the periodic setting;Forum Mathematicum;2024-06-26

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