论非线性克莱因-戈登方程偶数解在孤子中心超曲面上的渐近稳定性时 [math] [math

IF 2.2 2区数学 Q1 MATHEMATICS, APPLIED

SIAM Journal on Mathematical Analysis Pub Date : 2024-08-01 DOI:10.1137/23m1590871

Scipio Cuccagna, Masaya Maeda, Federico Murgante, Stefano Scrobogna

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引用次数: 0

摘要

SIAM 数学分析期刊》，第 56 卷第 4 期，第 5445-5473 页，2024 年 8 月。摘要。我们将 Kowalczyk、Martel 和 Muñoz [J. Eur. Math. Soc. (JEMS), 24 (2022), pp.这一结果是通过新的精炼估计获得的，它使我们能够在[math]范围内结束对幂律的论证。

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On Asymptotic Stability on a Center Hypersurface at the Soliton for Even Solutions of the Nonlinear Klein–Gordon Equation When [math]

SIAM Journal on Mathematical Analysis, Volume 56, Issue 4, Page 5445-5473, August 2024.
Abstract. We extend the result of Kowalczyk, Martel, and Muñoz [J. Eur. Math. Soc. (JEMS), 24 (2022), pp. 2133–2167] on the existence, in the context of spatially even solutions, of asymptotic stability on a center hypersurface at the soliton of the defocusing power nonlinear Klein–Gordon equation with [math], to the case [math]. The result is attained performing new and refined estimates that allow us to close the argument for power law in the range [math].

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来源期刊

SIAM Journal on Mathematical Analysis 数学-应用数学

CiteScore

3.30

自引率

5.00%

发文量

175

审稿时长

12 months

期刊介绍： SIAM Journal on Mathematical Analysis (SIMA) features research articles of the highest quality employing innovative analytical techniques to treat problems in the natural sciences. Every paper has content that is primarily analytical and that employs mathematical methods in such areas as partial differential equations, the calculus of variations, functional analysis, approximation theory, harmonic or wavelet analysis, or dynamical systems. Additionally, every paper relates to a model for natural phenomena in such areas as fluid mechanics, materials science, quantum mechanics, biology, mathematical physics, or to the computational analysis of such phenomena. Submission of a manuscript to a SIAM journal is representation by the author that the manuscript has not been published or submitted simultaneously for publication elsewhere. Typical papers for SIMA do not exceed 35 journal pages. Substantial deviations from this page limit require that the referees, editor, and editor-in-chief be convinced that the increased length is both required by the subject matter and justified by the quality of the paper.