Approximation diffusion for the Nonlinear Schrödinger equation with a random potential

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED

Asymptotic Analysis Pub Date : 2024-01-29 DOI:10.3233/asy-241894

Grégoire Barrué, Arnaud Debussche, Maxime Tusseau

引用次数: 0

Abstract

We prove that the stochastic Nonlinear Schrödinger (NLS) equation is the limit of NLS equation with random potential with vanishing correlation length. We generalize the perturbed test function method to the context of dispersive equations. Apart from the difficulty of working in infinite dimension, we treat the case of random perturbations which are not assumed uniformly bounded.

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具有随机势的非线性薛定谔方程的近似扩散

我们证明了随机非线性薛定谔（NLS）方程是具有相关长度消失的随机势的 NLS 方程的极限。我们将扰动检验函数法推广到分散方程的范畴。除了在无限维度下工作的困难之外，我们还处理了随机扰动的情况，而随机扰动并不假定是均匀有界的。

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

Asymptotic Analysis 数学-应用数学

CiteScore

1.90

自引率

7.10%

发文量

审稿时长

6 months

期刊介绍： The journal Asymptotic Analysis fulfills a twofold function. It aims at publishing original mathematical results in the asymptotic theory of problems affected by the presence of small or large parameters on the one hand, and at giving specific indications of their possible applications to different fields of natural sciences on the other hand. Asymptotic Analysis thus provides mathematicians with a concentrated source of newly acquired information which they may need in the analysis of asymptotic problems.