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arXiv · 2105.08311

Lower bound on the radius of analyticity of solution for fifth order KdV-BBM Equation

Birilew Belayneh·Emawayish Tegegn·Achenef Tesfahun
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Abstract

We show that the uniform radius of spatial analyticity $\sigma(t)$ of solution at time $t$ for the fifth order KdV-BBM equation cannot decay faster than $1/t$ for large $t>0$, given initial data that is analytic with fixed radius $\sigma_0$. This significantly improves a recent result by Carvajal and Panthee, where they established an exponential decay of $\sigma(t)$ for large $t$.

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Birilew Belayneh, Emawayish Tegegn, Achenef Tesfahun. 2021-05-18. Lower bound on the radius of analyticity of solution for fifth order KdV-BBM Equation. https://arxiv.org/abs/2105.08311

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