论文标题

改进了第五阶溶液分析性的半径KDV-BBM模型的下限

Improved Lower Bound for the Radius of Analyticity of Solutions to the fifth order KdV-BBM model

论文作者

Dufera, Tamirat T., Mebrate, Sileshi, Tesfahun, Achenef

论文摘要

我们表明,对于大型$ t $,对于第五阶kdv-bbm方程的时间$ t $,在时间$ t $上的空间分析性$σ(t)$的均匀半径不能更快地衰减速度。这改善了Belayneh,Tegegn和第三作者的最新结果,他们在$ t $ $ t $中获得了$ 1/t $衰减的$σ(t)$。

We show that the uniform radius of spatial analyticity $σ(t)$ of solutions at time $t$ to the fifth order KdV-BBM equation cannot decay faster than $1/ \sqrt{t}$ for large $t$, given initial data that is analytic with fixed radius $σ_0$. This improves a recent result by Belayneh, Tegegn and the third author, where they obtained a $1/t$ decay of $σ(t)$ for large time $t$.

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