改进的五阶 KdV-BBM 型方程解的解析半径下限

IF 0.7 4区数学 Q2 MATHEMATICS

Bulletin of The Iranian Mathematical Society Pub Date : 2024-08-02 DOI:10.1007/s41980-024-00882-z

Sileshi Mebrate, Tamirat Dufera, Achenef Tesfahun

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引用次数: 0

摘要

我们证明，在给定初始数据为具有固定半径（\sigma _0\）的解析条件下，五阶 KdV-BBM 型方程在时间 t 时的解的空间解析性均匀半径（\(\sigma (t)\)）在大 t 时的衰减速度不会超过（1/\sqrt{t}\）。这改进了 Belayneh、Tegegn 和第三位作者[2]最近的一个结果，他们在那里得到了在大时间 t 下 \(\sigma (t)\) 的 1/t 衰变。

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Improved Lower Bound for the Radius of Analyticity of Solutions to the Fifth Order, KdV-BBM Type Equation

We show that the uniform radius of spatial analyticity \(\sigma (t)\) of solutions at time t to the fifth order, KdV-BBM type equation cannot decay faster than \(1/ \sqrt{t}\) for large t, given initial data that is analytic with fixed radius \(\sigma _0\). This improves a recent result by Belayneh, Tegegn and the third author [2], where they obtained a 1/t decay of \(\sigma (t)\) for large time t.

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来源期刊

Bulletin of The Iranian Mathematical Society Mathematics-General Mathematics

CiteScore

1.40

自引率

0.00%

发文量

期刊介绍： The Bulletin of the Iranian Mathematical Society (BIMS) publishes original research papers as well as survey articles on a variety of hot topics from distinguished mathematicians. Research papers presented comprise of innovative contributions while expository survey articles feature important results that appeal to a broad audience. Articles are expected to address active research topics and are required to cite existing (including recent) relevant literature appropriately. Papers are critically reviewed on the basis of quality in its exposition, brevity, potential applications, motivation, value and originality of the results. The BIMS takes a high standard policy against any type plagiarism. The editorial board is devoted to solicit expert referees for a fast and unbiased review process.