环面上三阶Benjamin-Ono型方程的局部适定性

IF 1.5 3区数学 Q1 MATHEMATICS

Advances in Differential Equations Pub Date : 2018-12-09 DOI:10.57262/ade/1565661672

Tomoyuki Tanaka

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引用次数: 4

摘要

研究环面上三阶Benjamin-Ono型方程的Cauchy问题。非线性项可能产生导数损失，这使我们无法使用经典的能量法。为了克服这个困难，我们在能量中加入了一个校正项。我们还使用Bona-Smith类型参数来显示连续依赖性。

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Local well-posedness for third order Benjamin-Ono type equations on the torus

We consider the Cauchy problem of third order Benjamin-Ono type equations on the torus. Nonlinear terms may yield derivative losses, which prevents us from using the classical energy method. In order to overcome that difficulty, we add a correction term into the energy. We also use the Bona-Smith type argument to show the continuous dependence.

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来源期刊

Advances in Differential Equations MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Differential Equations will publish carefully selected, longer research papers on mathematical aspects of differential equations and on applications of the mathematical theory to issues arising in the sciences and in engineering. Papers submitted to this journal should be correct, new and non-trivial. Emphasis will be placed on papers that are judged to be specially timely, and of interest to a substantial number of mathematicians working in this area.