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

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

引用次数: 0

Abstract

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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改进的五阶 KdV-BBM 型方程解的解析半径下限

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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

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