Global Well-Posedness and Scattering for Fourth-Order Schrödinger Equations on Waveguide Manifolds-Reference-Cited by-同舟云学术

Global Well-Posedness and Scattering for Fourth-Order Schrödinger Equations on Waveguide Manifolds

Published:2024-02-12 Issue:1 Volume:56 Page:1427-1458
ISSN:0036-1410
Container-title:SIAM Journal on Mathematical Analysis
language:en
Short-container-title:SIAM J. Math. Anal.

Author:

Yu Xueying¹,Yue Haitian²,Zhao Zehua³

Affiliation:

1. Department of Mathematics, Oregon State University, Corvallis, OR 97331 USA, and Department of Mathematics, University of Washington, Seattle, WA 98195 USA.

2. Institute of Mathematical Sciences, ShanghaiTech University, Pudong, Shanghai, 201210, China.

3. Department of Mathematics and Statistics, Beijing Institute of Technology, Key Laboratory of Algebraic Lie Theory, and Analysis of Ministry of Education, Beijing, 100871, China.

Funder

China High-Level Young Talent Program

Beijing Institute of Technology Research Fund Program for Young Scholars

National Natural Science Foundation of China

ShanghaiTech University

Simons Foundation

University of Maryland

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Reference69 articles.

1. Scattering for Nonlinear Schrödinger Equation Under Partial Harmonic Confinement

2. Dispersion estimates for fourth order Schrödinger equations

3. Semilinear Schrödinger Equations

4. On scattering for the cubic defocusing nonlinear Schrödinger equation on the waveguide $\mathbb R^2 \times \mathbb T$

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

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