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数学与物理
理论数学
Vol. 10 No. 11 (November 2020)
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修正的两指标Camassa-Holm方程的周期边值问题的爆破解存在条件和判别条件
Existence and Discriminant Conditions of the Blow-Up Solution of the Periodic Boundary Value Problem of the Modified Two-Index Camassa-Holm Equation
DOI:
10.12677/PM.2020.1011127
,
PDF
,
被引量
作者:
孙开峰
:华南理工大学数学学院,广东 广州
关键词:
修正的两指标Camassa-Holm方程的周期边值问题
;
爆破
;
Periodic Modified Two-Component Camassa-Holm Equation
;
Blow-Up
摘要:
首先,对修正的两指标Camassa-Holm方程的周期边值问题建立局部适定性。其次,得到有关该方程强解的一些爆破结果。
Abstract:
We first establish local well-posedness for a periodic modified 2-component Camassa-Holm equation. We then obtain several blow-up results of strong solutions to the equation.
文章引用:
孙开峰. 修正的两指标Camassa-Holm方程的周期边值问题的爆破解存在条件和判别条件[J]. 理论数学, 2020, 10(11): 1070-1077.
https://doi.org/10.12677/PM.2020.1011127
参考文献
[1]
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[2]
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Kato, T. (1974) Spectral Theory and Differential Equations. Proceedings of the Symposium, Dundee, Scotland, 1-19 July 1974, 25-70.
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