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 σ(t) of solutions at time t to the fifth order KdV-BBM equation cannot decay faster than 1/ t for large t, given initial data that is analytic with fixed radius σ0. 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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