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

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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