半线上本杰明-奥诺方程存在结果的黎曼-希尔伯特方法

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2024-09-07 DOI:10.1016/j.nonrwa.2024.104211

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引用次数: 0

摘要

本文解决的主要问题是研究半线上本杰明-奥诺方程的非均质 Neumann 初始边界值问题解的局部时间存在性。在这一结果中，我们观察了边界数据对解的行为的影响。为了获得解的特征，必须使用有关黎曼-希尔伯特问题的理论。我们证明了解的时间局部存在性。

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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A Riemann–Hilbert approach to the existence results for the Benjamin–Ono equation on a half-line

The main problem addressed in this paper is to study the local existence in time of solutions to the non-homogeneous Neumann initial boundary value problem for the Benjamin–Ono equation on a half-line. In this result, we observe the influence of the boundary data on the behavior of solutions. In order to obtain the characterization of the solution it is essential to use the theory concerning the Riemann–Hilbert problem. We prove local existence in time of the solutions.

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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.