调制空间中高阶非线性薛定谔方程的全局拟合性

IF 1.2 3区 数学 Q1 MATHEMATICS
X. Carvajal , P. Gamboa , R. Santos
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引用次数: 0

摘要

我们考虑与高阶非线性薛定谔(h-NLS)方程∂tu+ia∂x2u+b∂x3u=2ia|u|2|u+6b|u|2∂xu,x,t∈R 相关的初值问题(IVP),给定数据在调制空间 Ms2,p(R)。利用 Killip、Visan、Zhang、Oh 和 Wang 的观点,我们证明了在 s≥14 和 p≥2 时,与 h-NLS 方程相关的 IVP 在调制空间 Ms2,p(R) 中是全局好求的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Global well-posedness for the higher order non-linear Schrödinger equation in modulation spaces
We consider the initial value problem (IVP) associated with a higher order non-linear Schrödinger (h-NLS) equationtu+iax2u+bx3u=2ia|u|2u+6b|u|2xu,x,tR, with given data in the modulation space Ms2,p(R). Using ideas from Killip, Visan, Zhang, Oh and Wang, we prove that the IVP associated with the h-NLS equation is globally well-posed in the modulation spaces Ms2,p(R) for s14 and p2.
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来源期刊
CiteScore
2.50
自引率
7.70%
发文量
790
审稿时长
6 months
期刊介绍: The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.
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