On a bilinear restriction estimate for Schrödinger equations on 2D waveguide

IF 2.4 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2024-11-14 DOI:10.1016/j.jde.2024.11.003

Yangkendi Deng

引用次数: 0

Abstract

In this article, we prove a bilinear estimate for Schrödinger equations on 2d waveguide,

R \times T

. We hope it may be of use in the further study of concentration compactness for cubic NLS on

R \times T

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关于二维波导上薛定谔方程的双线性限制估计

本文证明了二维波导 R×T 上薛定谔方程的双线性估计。希望这对进一步研究 R×T 上立方 NLS 的集中紧凑性有所帮助。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics