二维离焦非线性Schrödinger方程解的尖锐混合勒贝格上界

IF 2.8 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-07-17 DOI:10.1016/j.aml.2025.109686

Vo Van Au

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引用次数: 0

摘要

在无界二维区域上，研究了一类具有光滑幂型非线性的非线性Schrödinger方程。我们建立了一个新的全局实时估计，在混合勒贝格空间Lt4Lx8中产生一个尖锐的上界。这项工作的动力来自于作者之前关于非线性Schrödinger方程的结果，以及Killip， Tao和Visan（2009）的有影响力的工作。

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On a sharp mixed Lebesgue upper bound for solutions to the defocusing nonlinear Schrödinger equation in dimension two

In the unbounded two-dimensional domain, we study a class of nonlinear Schrödinger equations with a smooth power-type nonlinearity. We establish a novel global-in-time estimate that yields a sharp upper bound in the mixed Lebesgue space

L_{t}^{4} L_{x}^{8}

. This work is motivated by the author’s previous results on the nonlinear Schrödinger equation, as well as by the influential work of Killip, Tao, and Visan (2009).

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.