Improved Lower Bound for the Radius of Analyticity of Solutions to the Fifth Order, KdV-BBM Type Equation

Mebrate S. Dufera T. Tesfahun A.
August 2024 Springer

Bulletin of the Iranian Mathematical Society
2024 #50 Issue 4

We show that the uniform radius of spatial analyticity σ(t) of solutions at time t to the fifth order, KdV-BBM type 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 [2], where they obtained a 1/t decay of σ(t) for large time t.

Global well-posedness, Improved Lower bound , KdV-BBM model , Modified Gevrey spaces , Radius of analyticity

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Department of Mathematics, Nazarbayev University, Qabanbai Batyr Avenue 53, Nur-Sultan, 010000, Kazakhstan
Department of Mathematics, Adama Science and Technology University, Adama, Ethiopia

Department of Mathematics
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