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arXiv · 2203.08589

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

Tamirat T. Dufera·Sileshi Mebrate·Achenef Tesfahun
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Abstract

We show that the uniform radius of spatial analyticity $\sigma(t)$ 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 $\sigma_0$. This improves a recent result by Belayneh, Tegegn and the third author, where they obtained a $1/t$ decay of $\sigma(t)$ for large time $t$.

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Tamirat T. Dufera, Sileshi Mebrate, Achenef Tesfahun. 2022-03-16. Improved Lower Bound for the Radius of Analyticity of Solutions to the fifth order KdV-BBM model. https://arxiv.org/abs/2203.08589

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