Lower bound on the radius of analyticity of solution for fifth order KdV–BBM equation
Belayneh B. Tegegn E. Tesfahun A.
January 2022Birkhauser
Nonlinear Differential Equations and Applications
2022#29Issue 1
We show that the uniform radius of spatial analyticity σ(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 σ. This significantly improves a recent result by Carvajal and Panthee (On the radius of analyticity for the solution of the fifth order KdV–BBM model, 2020. arXiv:2009.09328) , where they established an exponential decay of σ(t) for large t.
Gevrey spaces , Global well-posedness lower bound , KdV–BBM equation , Radius of analyticity
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Department of Mathematics, Bahir Dar University, Bahir Dar, Ethiopia
Department of Mathematics, Nazarbayev University, Qabanbai Batyr Avenue 53, Nur-Sultan, 010000, Kazakhstan
Department of Mathematics
Department of Mathematics
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